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201.

A and B can do a piece of work in 4 days. If A can do it alone in 12 days, B will finish the work in

Answer»

6 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, the number of days B will TAKE to finish the work = 4 × 12/ 12 – 4 

= 48/8 = 6 days.

202.

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

Answer»

13 days



The ratio of their efficiency = A : B = 130 : 100 = 13 : 10 

Therefore, the ratio of the time taken by them = 10 : 13 

A takes 23 days = 10 units of ratio 

So, 1 unit of ratio = 23/10 

Time taken by B ALONE to finish the work = 23/10 ×13 = 29.9 = 30 days 

Therefore, the No. of days taken to finish the work working together = 23 × 30/ 53 

= 13 days

203.

36 workers can reap a field in 6 days. If the work is to be completed in 4 days, the extra workers required are

Answer»

18



M1D1 = M2D2
36(6)=X(4)
=54
Extra REQUIRED WORKERS are 54-36=18

204.

Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?

Answer»

60



Kim's wages : DAVID's wages = Kim's 1 day work : David's 1 day work = 1/3 : 1/2 = 2:3

Kim's SHARE = 2/5 * 150 = RS. 60

205.

If 12 men do a work in 80 days, in how many days will 16 men do it?

Answer»

60



12 * 80 = 16 * x

x = 60 DAYS

206.

X can do a piece of work in 25 days. Y is 25% more efficient than X. The number of days taken by Y is

Answer»

20 days



NA

207.

A job can be completed by 12 men in 12 days. How many extra days will be needed to complete the job if 6 men leave after working for 6 days?

Answer»

6 days



Half the WORK is done by 12 men in 6 days. 

REMAINING half should be done by 6 men in ? days 

Then, 12 × 6 × ½ = 6 × ?days × ½ 

36 = 3 × ?days

? days = 36/3 =12 days 

EXTRA days REQUIRED = 12 -6 = 6 days.

208.

(x-2) men can do a piece of work in x days and (x+7) men can do 75% of the same work in (x-10)days. Then in how many days can (x+10) men finish the work?

Answer»

12 days



NA

209.

A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3000, A will get:

Answer»

Rs. 1800



Ratio of working days of A : B = 10 : 15 
Therefore, their wages ratio = reverse ratio = 15 : 10 
 Therefore, A will get 15 UNITS of ratio 
TOTAL ratio = 25 
1 unit of ratio =3000/25 = 120 
So, A’s amount = 120 × 15 = Rs.1800.

210.

A can do 1/4th part of the work in 10 days, B can do 40% of the work in 40 days and C can do 1/3rd of the work in 13 days. Who will complete the work first?

Answer»

C



The whole work is DONE by A in 4 × 10 = 40 days 
B can do the whole work in 40/40 × 100 days = 100 days 
C can do the whole work in 3 × 13 = 39 days. 
Therefore, the 1st person to complete the work is C.

211.

'A'can do a piece of work in 10 days and'B'can do the same work in 15 days. How long will it take ifboth work together ?

Answer»

6 DAYS



A can do 1/10 WORK in 1 day.
B can do 1/15 work in 1 day. 
THEREFORE, A + B can do (1/10 + 1/15 =) 1/6 work in 1 day
Therefore, A + B can do the work in 1/(1/6) = 6 days.

212.

A does 4/5th of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

Answer»

37 ½ days



A can FINISH the whole work in 20 × 5/4 days = 25 days 
A and B together finish the whole work in 5 × 3 days = 15 days 
Therefore, B can finish the whole work in25 B/ 25 + B = 15 

213.

A can do a work in 4 days and B can do the same work in 5 days. The contract for the work is Rs 945. How much shall A get if both of them work together ?

Answer»

Rs. 525



A's share = 945/(4 + 5) x 5 = 945 x 5/9 = 525

214.

The wages of 16 women amount to Rs 1200 in 15 days. How many men must work for 12 days to receive Rs 3600, the daily wages of a man being double those of a woman ?

Answer»

30



Reqd no. of MEN = 8x3600/1200 X 15/12 = 30

215.

2 men and 8 women can earn 713640 in 11 days. 6 men and 10 women can earn 713 800 in 15 days. In how many days will 10 men and 15 women earn 78700 ?

Answer»

6 days



Let the daily earning of a man be x and that of a woman be y
12x + 8Y = 13640/11 = 1240
∴ 3x + 2y = 310

216.

45 men working 5 hours per day finish a piece of work in 12 days. In how many days can 60 women working 4 hours per day finish the same piece of work? 2 women do as much work in one hour as 1 man does

Answer»

15 days



E1E2 = 2 x 1, 1 x 15 = 21.5 x 4 x 3
w = w
Because M1 D1 T1 H1 W2 = M D2 T2 B2 W1
D4 = 45x12x5x4/60x4x3 = 15 days

217.

If 5 men and 3 boys can reap 23 hectares in 4 days and if 3 men and 2 boys can reap 7 hectares in 2 days, how many boys must assist 7 men in order to reap 45 hectares in 6 days ?

Answer»

2 boys



5M + 3b can reap 23 hectare in 4 days …..(i)
3m + 2b can reap 7 hectare in 2 days ……..(ii)
From I :
 14(5m + 3b) can reap 23 x 14 hectare in 4 days.
From II :
23(3m + 2b) can reap 7 x 2 x 23 hectare in 4 days .
Therefore,
14(5m + 3b) = 23 (3m + 2b)
= 70m + 42b = 69M + 46b
= m = 4b
By Rule of Fraction we get the REQUIRED result.
23 x 45/23 x 4/6 

218.

25 men can do a piece of work in 24 days. How many men would be required to do the same work in 10 days ?

Answer»

60 men



25 men - 24 DAYS - 1 work
1 man - 1 DAY - 1/24 x 25 work

219.

7 men and 8 women can earn Rs. 12545 in 13 days. If 12 men and 5 women can earn Rs. 10575 in 9 days, in how many days can 15 men and 16 women earn Rs. 24060 ?

Answer»

12



Let the earning of a MAN be Rs. X and that of a woman be Rs. y per day.
∴ 7x + 8y = 12545/13 = 965
∴ 7x + 8y = 965

220.

25 men can complete a work in 8 days. 15 women can complete the same work in 20 days & 9 children can complete it in 40 days. In how many days can one man, one woman and one child together complete th

Answer»

90 days



25 men can complete the WORK in 28 days.
∴ The man can complete the work in 25 x 8 = 200 days.
∴ One man's one DAY's work = 1/200
Similarly,
One woman's one day's work = 1/300
and one child's one day's work = 1/360
∴ (One man + one woman + one child)'s one day's work = 1/200 + 1/300 + 1/360
= 9+6+5/1800 = 20/1800 = 1/90
∴ One man, one woman and one child can finish the work in 90 days.

221.

If 5 men or 8 women can do a work in 44 days, how long will 10 men and 6 women take to complete the work together ?

Answer»

16 days



One man's one day = 1/44 X 8 WORK
One Woman's one day = 1/44 x 8 work
∴ Work done by 10 MEN and 6 Women in one day
= 10/220 + 6/352 = 8 + 3/176
= 11/176 = 1/16
So, 10 men and 6 Women will take 16 days to complete the work.

222.

10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?

Answer»

7 Days



NA

223.

A complete 80% of a work in 20 days. Then B also foins and A and B together finish the remaining work in 3 days. How many days will be required for B if he al0one complete the work?

Answer»

37 1/2 Days



NA

224.

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

Answer»

40 Days



NA

225.

A can do a piece of work in 1o days, B can do the same work in 15 days. They work for 5 days. The rest of work finished by C in 2 days. If they get Rs 1500 for the whole work, the daily wages of B and

Answer»

225 Rs.



NA

226.

A does 4/5 of work in 20 days. Then A calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

Answer»

37 1/2 Days



NA

227.

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

Answer»

60 days



NA

228.

A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long

Answer»

10 2/3 days



2/10 + 4/15 + x/20 = 1

x = 32/3 = 10 2/3

229.

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

Answer»

8 days



NA

230.

A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?

Answer»

21 ½ DAYS



1/18 + 1/30 = 8/90 = 4/45

45/4 = 11 ¼ *2 = 22 ½ days

231.

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in

Answer»

24/7 days



Formula: If A can do a piece of work in n days, then A's 1 day's work = 1/n .

(A + B + C)'s 1 day's work = 1/24 + 1/6 + 1/12 = 7/24
.
Formula: If A's 1 day's work = 1/n , then A can FINISH the work in n days.

So, all the THREE TOGETHER will complete the job in 24/7days

232.

A, B and C completed a piece of work costing Rs.1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio 5 : 6 : 4, how much amount will be received by A?

Answer»

600



The NEW ratio = WAGES ratio × No. of days 
A = 5 × 6 = 30 
B = 6 × 4 = 24 
C = 4 × 9 = 36 
THEREFORE, the ratio of the AMOUNT received = 30 : 24 : 36 = 5 : 4 :6 
Total ratio = 15 
1 unit of ratio = 1800/15 = Rs. 120
Therefore, amount received by A = 5 units = 5 × 120 = Rs.600.

233.

'A' is twrice as fast as 'B' , and is therefore able to finish a work in 24 days less than 'B' . What is the time in which they can do it working together ?

Answer»

16 days



As given, If A does a work in 1 DAY B does it in 2 days.
Therefore, A does it in 24 days and B does it in 48 days.
Therefore, TOGETHER they will TAKE 24 x 48/72 = 16 days.

234.

8 men can dig a pit in 20 days. If a man works half as much again a s a boy, then 4 men and 9 boys can dig a similar pit in:

Answer»

16 days



1 work done = 8 × 20 
1 man = 3/2 BOYS 
1 boy = 2/3 men 
Then, 9 boys = 9 × 2/3 men = 6 men 
Then, 4 men + 9 boys = 10 men 
Then, 8 × 20 = 10 × ?days 
? days = 8 × 20/10 = 16 days. 

235.

A man and a boy complete a work together in 24 days. If for the last 6 days man alone does the work then it is completed in 26 days. How long the boy will take to complete the work alone?

Answer»

72 days



(MAN + BOY)’s 1 day’s work = 1/24 
Their 20 day’s work = 1/24 × 20 = 5/6 
The remaining 1/6 work is done by the man in 6DAYS 
Therefore, the man alone will finish the work in 6 × 6 days = 36 days 
Man’s 1 day’s work = 1/36 
Therefore, boy’s 1 day’s work = 1/24 – 1/36 = 3 – 2 /72 = 1/72 
Therefore, the Boy alone will finish the work in 72 days.

236.

If 12 carpenters working 6 hours a day can make 460 chairs in 24 days, how many chairs will 18 carpenters working 8 hours a day make in 36 days ?

Answer»

1380



1380

237.

A can do a piece of work in 15 days and B in 20 days. How much time will they take to complete the work if they work on alternate days, starting with A ?

Answer»

17



 Work done by A in one day = 1/15
Work done by B in one day = 1/20
Total work done in 2 days = 1/15 + 1/20 = 4+3/60 = 7/60
Total work done in 16 days = 7/60 x 8 = 56/60 = 14/15,
REMAINING work = 1 - 14/15 = 1/15 and this can be done by A on the 17TH day.

238.

A can do a piece of work in 60 days. He worker for 15 days and then B alone finishes the remaining work in 30 days. The two together can finish the work in

Answer»

24 DAYS



24 days

239.

12 men can complete a work in 6 days. 8 women can do it in 12 days. If 6 men and 8 women are employed together, work will be completed in

Answer»

6 DAYS



6 days

240.

If 18 women or 12 men can do a Job in 7 days, in how many days can 4 men and 8 women do the same job ?

Answer»

9 DAYS



18 WOMAN = 12 men
3 woman = 2 men
Because, 4 men + 8 women= 6 women + 8 women = 14 women
Because, 18 women can do a job in 7 days
Therefore, 14 women can do a job in 18x7/14 = 9 days

241.

The wages for 27 women amount to Rs 12000 in 8 days. How many men must work for 6 days to receive Rs 8000? The daily wages of a man is double that of a woman.

Answer»

12



Wages of a woman for a day = Rs. 12000/27x8
wages of a man = Rs. 2x12000/27x8
No. of men= Total wages/No. of DAYS x man's DAILY wage 
= 8000/66x(2x12000/27x8) = 8000 x 27 x 8/6 x 2 x 12000 = 12

242.

A man 'A' can do a work in 30 days. With the help of another man" B' he can do the same work in 17 days. If they get Rs 2100 for that work, what is the share o f ' B ' ?

Answer»

Rs 910



A will do 17/30 work in 17 days.
= B will do 1-17/30 = 13/30 work, in 17 days.
Therefore, RATIO of their SHARES should be A : B = 17 : 13
∴ B's SHARE = 2100/(17+13) x 13 = 910

243.

'A' and ' B ' can do a work in 20 and 30 days respectively. They began the work together, but 'A left after some time and ' B ' finished the remaining work in 5 days. Then what is the number of days a

Answer»

10 days



B ALONE worked for 5 days 
work done by B in 5 days = 5/30 = 1/6
A + B together finished 1 - 1/6 = 5/6 work.
A + B do I work in 20x30/20x30 = 600/50 = 12 days
A + B do 5/6 work in 12 X 5/6 = 10 days.

244.

Three pipes A, B and C can fill a cistern in 36 minutes. After working together for 12 minutes, C is closed and A and B fill the cistern in 48 minutes. Find the time in which the cistern can be filled

Answer»

72 min



The part of the tank (A + B + C), WORKING together, will fill in 12 min = 12/36 = 1/3
Hence REMAINING tank = (1 - 1/3) = 2/3 is filled by (A + B) in 48 min
∴ A + B till the tank in 48x3/2 = 72 min
The part of the C can fill in 1 minute= 1/(A+B+C) - 1/(A+B) = 1/36 - 1/72 = 1/72
So, C can fill the whole tank in 72 minutes.

245.

A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?

Answer»

2 2/3 days



Work done by all THREE of them in ONE DAY = 1/6 + 1/8 + 1/12 = 3/8.

The NUMBER of days REQUIRED = 8/3 = 2 2/3 days.

246.

8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 10 children together complete the piece of work?

Answer»

6 days



1 man’s 1 day’s WORK = 1/8 × 12 = 1/96 
10 men’s 1 day’s work = 1 × 10/96= 5/48 
1 woman’s 1 day’s work = 1/192 
4 women’s 1 day’s work = 1/192 × 4 = 1/48 
1 child’s 1 day’s work = 1/240 
10 CHILDREN’s 1 day’s work = 1/24 
THEREFORE, (10 men + 4 women + 10 children)’s 1 day’s work = 5/48 + 1/48 + 1/24 

247.

2 pipes P1 and P2 together can fill a tank in 6 hrs and P3 alone can fill the tank in 10 hrs if they work together what is the time taken to fill the tank?

Answer»

15/4 HRS



(P1 +P2) can FILL 1/6 TANK in 1 hr

248.

A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together can complete it in

Answer»

10 days



NA

249.

5 men 2 boys working together can do 4 times as much work as a man and a boy working capacities of a woman and boy are in ratio?

Answer»

2:1 



1 man’s 1 day work = X
1 boy’s 1 day work = y
5x+2y = 4(x + y) => x = 2y => 2:1

250.

A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job?

Answer»

21



WC = 1:2

2x + X = 1/14 => x = 1/42

2x = 1/21 => 21 DAYS