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1.

A completed his office project in 52 days. B is 30% more efficient than A. How many days will B take to complete the same project?1. 402. 253. 654. 13

Answer» Correct Answer - Option 1 : 40

Given:

A can complete his office project in 52days

B is 30% more efficient than A.

Formula Used

Work = Time×Efficiency

Time is inversely proportional to Efficiency.

Calculation

Let the days taken by Bto complete the project bex

According to the question,

The ratio of efficiency of B and A = 130 : 100

The ratio of time taken byBandA= 100: 130 = 10: 13

The time taken by B to complete the project = (52) × (10/13)

⇒ x = (52) × (10/13)

⇒x = 40

∴ Bwill take 40days to complete the project.

2.

A and C together complete a work in 15 days and A, B and C working together take 9 days to complete the work. Find the time taken by B alone to complete the work.1. 22.5 days2. 21.5 days3. 23.5 days4. 20.5 days5. 22 days

Answer» Correct Answer - Option 1 : 22.5 days

Given:

A and C together take15 days

and A, B and C together take9 days

Formula used:

Efficiency = Work/(Time taken)

Calculation:

Total work = LCM of 9 and 15 = 45 units

Efficiency of (A + C) = 45/15 = 3 units/day

and efficiency of (A + B + C) = 45/9 = 5 units/day

So, efficiency of B = (5 - 3) units\day

⇒ 2 units/day

Now, B alone takes = (45 units)/(2 units/day)

⇒ (45/2) days

⇒ 22.5 days

∴B alone takes 22.5 daysto completethe work.

3.

While working in an office, 'n' person can do that work in 60 days. If 12 additional people were taken to work, it would take 12 days less to complete the same work. How many people were there in the beginning?1. 362. 483. 204. 32

Answer» Correct Answer - Option 2 : 48

Given:

'n' person can do a work in 60 days.

It takes 12 days less to complete the same work if 12 additional people are added to the work.

Concept:

If “x” men finish the job in “n” days,

1 person will finish the same job in “nx” days.

Calculation:

Let the number of men initially be “x”.

According to the question,

“x” men finish the work in 60 days and (x + 12) men finish it in 48 days.

Now, “x” men finish the job in 60 days.

1 man will finish the same job in 60x days ----(1)

Again “(x + 12)” men finish the job in 48 days.

1 man can finish the same job in 48(x + 12) days ----(2)

From equation (1) and (2),

60x = 48(x + 12)

⇒ 60x – 48x = 48 × 12

⇒ 12x = 48 × 12

⇒ x = (48 × 12)/12

⇒ x = 48

The total number of men in the beginning was 48.

4.

If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is :

Answer»

 2 : 1



NA

5.

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

Answer»

15 days



A's 2 day's WORK = 1/20 x 2 = 1/10 .

(A + B + C)'s 1 day's work = 1/20 + 1/30 + 1/60 = 6/60 = 1/10.

Work DONE in 3 days = 1/10 + 1/10 = 1/5 .

Now, 1/5 work is done in 3 days.

Whole work will be done in (3 x 5) = 15 days.

6.

A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?

Answer»

15 DAYS



B's 1 day WORK = (1/12 - 1/20) = 1/30

Now, (A + B)'s 1 day work = (1/20 + 1/60) = 1/15

So, A and B together will complete the work in 15 days.

7.

6 women can complete a piece of work in 10 days, whereas 10 children alone take 15 days to complete the same piece of work. How many days will 6 women and 10 children together take to complete the pie

Answer»

6



NA

8.

A can do a piece of work in 14 days which B alone can do in 21 days. They begin together but 3 days before the completion of the work, A leaves off. The total number of days for the work to be complet

Answer»

10 1/5 days



B’s 1 day’s WORK = 1/21
B’s 3 day’s work = 1/21 ×3 = 1/7 
The remaining work FINISHED by both of them = 1 – 1/7 = 6/7 
Both together can finish it in 14 × 21/35 days = 42/5 days 
Their, 1 day’s work = 5/42 
Therefore, the No. of days TAKEN by them together to finish 6/7 work 

9.

A man, a woman and a boy can complete a job in 3 days, 4 days and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4th of a day?

Answer»

41



1 MAN’s 1 DAY’s WORK = 1/3, ¼ day’s work = 1/3 × ¼ = 1/12 
1 woman’s 1 day’s work = ¼,

10.

A man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?

Answer»

7 ½ days



If A and B together can do a piece of work in X days and A alone can do the same work in y 

days, then B alone can do the same work in x y/ y – x days. 

THEREFORE, his son alone can do the work in 3 × 5/ 5 – 3 = 15/2 = 7 ½ days.

11.

A clerk works for 210 working days in a calendar year at an annual salary Rs. 1,07,310/- Calculate the hourly rate of pay if each working day is of 7 hrs ?

Answer»

RS. 73



Rs. 73

12.

X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days how long will they work together take to complete the work?

Answer»

13 1/3



Work done by x in 8 DAYS= 8/40 = 1/5
remaining work= 4/5
4/5 work is done by Y in 16 days
whole work is done by Y in 16*5/4 = 20 days
X’s 1 DAY work =1/40
Y’s 1 day work =1/20
(X+Y)’s 1 day work=1/40 +1/20 = 3/40 = 13 1/3

13.

A and B together can finish a work in 9 days. A alone can finish the work in 12 days. In how many days will B alone finish the work?

Answer»

36



NA

14.

If 12 men can do a piece of work in 24 days, then in how many days can 18 men do the same work?

Answer»

16 days



1 WORK done = 12 × 24 

Then, 12 × 24 = 18 × ? days 

? days = 12 × 24/18 = 16.

15.

A contractor decided to build a bridge in 35 days. He employed 60 men in the beginning and 40 more after 17 days and completed the work on time. If he had not employed the additional men, how many day

Answer»

13 DAYS



Let 60 men COMPLETE the work in x days
 60 men

16.

If 4 men or 6 boys can finish a work in 20 days. How long will 6 men and 11 boys take to finish the same work?

Answer»

6 DAYS



4 MEN = 6 BOYS 

Then, 1 BOY = 4/6 men = 2/3 men 

11 boys = 2/3 × 11 men = 22/3 men 

Then, 6 men + 11 boys = 6 + 22/3 men = 40/3 men 

1 work done = 4 men × 20days 

That is, 4 × 20 = 40/3 × ? days

? days = 4 × 20 × 3/40 = 6 days

17.

A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?

Answer»

6 DAYS



4/10 + 9/X = 1 => x = 15

1/10 + 1/15 = 1/6 => 6 days

18.

A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the same work, If all three, working together can complete the job in 24 days, then th

Answer»

96



NA

19.

Ram, Shyam and Mohan can do a piece of work in 12, 15 and 20 days respectively. How long will they take to finish it together?

Answer»

5 DAYS



When A, B and C can do a WORK in x, y and z days respectively. Then, the three of them 

TOGETHER can finish the work in xyz/ x y + y z + x z days 

Therefore, the No. of days taken by them together to finish the whole work 

= 12 × 15 × 20/12 × 15 + 15 × 20 + 12 × 20 

= 12 × 15 × 20/720 = 5 days.

20.

If A can complete a work in 36 days and B can do the same work in 42days. If A after doing 6 days, leaves the work, find in how many days B will do the remaining work ?

Answer»

35 DAYS



A’s ONE day WORK =1/36
6 day work = 6*1/36 = 1/6
Remaining work = 1-1/6=5/6
B COMPLETES the work in 5/6*42 = 35 days

21.

A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?

Answer»

Rs.600



WC = 1/6:1/8:1/12 => 4:3:2

3/9 * 1800 = 600

22.

In one day woman does two-third of work done by man; & a child does half of work done by a woman. If 15 men can complete a job in 12 days, in how many days will 10 men, 9 women & 6 children together c

Answer»

10 DAYS



10 days

23.

A man, a woman and a boy together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?

Answer»

9 days



(Man + Boy + WOMAN)’s 1 DAY’s work = 1/3 

Man’s 1day’s work = 1/6 

Boy’s 1 day’s work = 1/18 

Then, Woman’ 1 day’s work = 1/3 – ( 1/6 + 1/18) = 1/3 – 4/18 =2/18 = 1/9 

Therefore, the Woman ALONE can FINISH the work in 9 days.

24.

50 people can complete a piece of work in 40 days. Ir how many days can 100 people with twice the efficienc; complete the same piece of work ?

Answer»

10 DAYS



For FIRST group of people 
Total people P1 = 50
Efficiency E1 = E
Days D1 = 40
For second gorup of people
Total people P2 = 100
Efficiency E2 = 2E
Days D2 = ?
∴ P1E1D1 = P2E2D2
∴ D2 = P1E1D1/P2E2 = 50 x E x 40/100 x 2E = 10 days.

25.

A can finish a work in 20 days and B can do the same work in half the time taken by A. then working together, what part of the same work they can finish in a day?

Answer»

3/20



NA

26.

4 men work 12 hours daily to complete a work in 9 days. If 16 men work 2 hours daily, in how many days will the work be complete?

Answer»

13 1/2 DAYS



13 1/2 days

27.

P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work

Answer»

4(1/2)



Work DONE by P ALONE in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total.

Work done by P and Q, WORKING TOGETHER in one day = 1/6 + 1/18= 4/18 = 2/9 of the total

They would take 9/2 days = 4 (1/2) days to complete the work working together.

28.

Four pipes fill a tank in 15, 20, 30 and 40 hours respectively. The first pipe was opened at 6 am, the second at 8 am, the third at 10 am and the fourth at 12 noon. When will the tank get filled compl

Answer»

 41/21 hours



Pipe A fills 2/15 part in 2 hours.
Reamaining part = B/15
Pipe A and B FILL 7x2/60 = 7/30 part in 2 hours.
REMAINING part = 13/15 - 7/30 = 26-7/30 = 19/30
Pipes A, B and C fill 3x2/20 = 3/10 part in 2 hours 
Remaining part = 19/30 - 3/10 = 10/30 = 1/3
1/3 will be FILLED in = 1/3 X 40/7 = 40/21 hours.

29.

A and B can do a work in 12 days and 36 days respectively. If they work on alternate days beginning with B, in how many days will the work be completed?

Answer»

NONE of these



NA

30.

Ram can complete a work in 45 days and Mohan can do the same work in 27 days. If Ram leaves the work after 5 days, then in how many days will Mohan do the remaining work ?

Answer»

21 DAYS



21 days

31.

A man takes four times as long to row up as to row down the river. If the rate of river is 6 kmh"1 what is the rate of the man in still water ?

Answer»

10 kmph



Let the SPEED of the man in still WATER be V kmh-1
∴ (V + 6) = 4(V- 6)
∴ V + 6 = 4V - 24
∴ 3V = 30
∴ V = 10 kmh-1

32.

If 7 men and 4 boys can earn Rs. 10275 in 15 days and 8 men and 11 boys can earn Rs. 7280 in 7 days, in what time can 5 men and 9 boys earn Rs. 8820 ?

Answer»

12 days



Let the daily EARNING of MAN be x and that of BOY be y.
7X + 4y = 10275/15 = 685
7x + 4y = 685

33.

12 men take 36 days to do a work while 12 ladies complete 3/fourth of the same work in 36 days. In how long 10 men and 8 ladies together will finish the same work?

Answer»

NONE of these



NA

34.

A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in

Answer»

(A's 1 DAY's WORK) : (B's 1 day's work) = 7/4 : 1=7 : 4.



NA

35.

A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work?

Answer»

14



Let A worked for X days.

 x/21 + 4/28 = 1 => x/21 = 6/7=> x = 18

A worked for 18 days. So, A can complete the remaining WORK in 18 - 4 = 14 days.

36.

A does 4/5th of a work in 20 days. He then assembles in B and they complete the remaining work in 3 days. To what extent B alone would take to do the entire work?

Answer»

75/2 days



NA

37.

If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 12 women together do the work?

Answer»

40



Given that 12m = 20W => 3m = 5w 

9 MEN + 12 women = 15 women + 12 women = 27 women 

20 women can do the work in 54 days. So, 27 women can do it in (20 * 54) /27 = 40 days.

38.

4 girls can do a piece of work in 8 days, same work 3 boys can do in 9 days, 7 men in 2 days and 5 women in 4 days. Who among them have the minimum capacity of work?

Answer»

Girl



NA

39.

If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?

Answer»

9 DAYS



C = 1/4 - 1/12 – 1/18 = 1/9 => 9 days

40.

A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?

Answer»

4 DAYS



2/5 + (2 + X)/10 = 1 => x = 4 days

41.

A can do a work in 24 days and B can do it in 8 days. In how many days A and B can do the work?

Answer»

6 DAYS



A's 1DAY's WORK = 1/24
B's 1day's work = 1/8
They work TOGETHER = 1/24 + 1/8 = 6 days 

42.

Two trains start at same time from two stations A and B and proceed towards each other at speeds of 30 kmh-' and 25 kmlr1. When they meet, the difference between the distances is 40 km?What is the dis

Answer»

440 km



Let them meet after 1 hour
 ∴ 30 x 1 - 25 x 1 = 40
∴ 1 = 40/5 = 8 hours
∴ Distance between A and B
= 30 x 8 + 25 x 8
= 240 + 200
= 440 km

43.

A can do a certain work in the same time in which B and C together can do it.If A and B together could do it in 20 days and C alone in 60 days ,then B alone could do it in:

Answer»

60 days



NA

44.

A and B can do a piece of work in 48 days, A and C can do it in 60 days, b and c can do it 72 days. In what time can c alone do it?

Answer»

85 days 



(A+B) 1 day WORK = 1/48
(B+C) 1 day work = 1/72
(A+C) 1 day work = 1/60
By ADDING 2(A+B+C) = 1/48 +1/72+1/60 = 37/720
(A+B+C) 1 day work = 37/1440
A 1 day work = 37/1440 – 1/72 = 17/1440 = 85 days (approximately)

45.

A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?

Answer»

11 3/7 days



(x – 5)/15 + x/20 = 1

x = 11 3/7 days

46.

Two pipes can separately fill up a cistern in 2 hours and 3 hours respectively. If both the pipes are open simultaneously, in how many minutes will the cistern be filled ?

Answer»

72 MIN



72 min 

47.

A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work?

Answer»

7.5 Days



NA

48.

Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day?

Answer»

80



We have M1 D1 H1 / W1 = M2 D2 H2 / W2 (VARIATION rule)

(60 * 30 * 8)/ 200 = (45 * D2 * 6) / 300 

D2 = (60 * 30 * 8 * 300) / (200 * 45 * 6)=> D2 = 80.

49.

10 women can complete a work in 8 days and 10 children take 12 days to complete the work. How many days will 6 women and 3 children together take to complete the work?

Answer»

10



1 women’s 1 DAY’s work = 1/8/10 = 1/80 
1 child’s 1 day’s work = 1/12/10 = 1/120 
6 women’s 1 day’s work = 1/80 × 6 = 3/40 
3 children’s 1 day’s work = 1/120 × 3 = 1/40 
6 women’s + 3 children’s 1 day’s work = 3 /40 + 1/40 = 1/10 
THEREFORE, they will finish the WHOLE work in 10 DAYS

50.

Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two differ

Answer»

8 hours 15 minutes



NUMBER of pages typed by RAVI in 1 hour = 32/6 = 16/3 .
Number of pages typed by Kumar in 1 hour = 40/5 = 8.
Number of pages typed by both in 1 hour = ( 16/3 + 8 ) = 40/3 .
Therefore TIME taken by both to type 110 pages = ( 110 x 3/40 ) hours
= 8 hours 15 minutes.