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151.

A pipe can empty a tank in 15 hours and another can in 10 hours. If both the pipes are opened simuitaneously, how long will it take to completely empty a full tank ?

Answer»

6 HOURS



6 hours

152.

P can complete work in 12 days working 8 hrs a day. Q can complete the same work in 8 days working10 hrs a day. If both P and Q working 8 hrs a day in how many days can they complete the work?

Answer»

5 5/11



P can COMPLETE WORK in 12 X 8 = 96 hrs
P’s

153.

10 men can prepare 20 toys in 12 days working 15 hours a day. Then in how many days can 24 men prepare 32 toys working 20 hrs a day?

Answer»

4 days



10*12*15/20 = 24*20*x/32
X=4

154.

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 together take to complete the work?

Answer»

40/3 DAYS



Work DONE by X in 8 days = ( 1/40 x 8 ) = 1/5 .
Remaining work = ( 1 - 1/5 ) = 4/5 .
Now, 4/5 work is done by Y in 16 days.
Whole work will be done by Y in ( 16 x 5/4 ) = 20 days.
Therefore X's 1 DAY's work = 1/40 , Y's 1 day's work = 1/20 .
(X + Y)'s 1 day's work = ( 1/40 + 1/20 ) = 3/40
Hence, X and Y will together complete the work in ( 40/3 ) days.

155.

Two pipes can fill a tank in 12 hours and 15 hours respectively. A third pipe can empty it is 20 hours. If the tank is empty and all the 3 pipes are opened then the tank will be full in ?

Answer»

10 HRS



10 hrs

156.

A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?

Answer»

9 days



3/12 + (3 + X)/16 = 1
x = 9 days

157.

A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of da

Answer»

9



NA

158.

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

Answer»

10 days




X’s 1 day’s WORK = 1/20 

X’s 4 day’s work = 1/20 × 4 = 1/5 

The REMAINING work = 4/5 

X and Y’s 1 day work = 1/20 + 1/12 = 4/30 = 2/15 

Therefore, Both together finish the remaining work in 4/5/2/15 days 

= 4/5 × 15/2 = 6 days 

Therefore, the TOTAL number of days taken to finish the work = 4 + 6 = 10 days.

159.

One person takes 5 minutes to fill a bottle. If from 10 am to 11:20 am, 1904 bottles are to be filled, how many persons should be employed on this job ?

Answer»

119



From 10 am to 11.20 am = 80 mins By rule of fraction:
Reqd no. of men = 1(5/80)(1904/1) = 119

160.

A certain number of men can do a work in 54days. If there were 6 men more it could be finished in 6 days less. How many men were there in the beginning?

Answer»

48



m(54) = (m+6)(48)
9m-8m=48
M=48

161.

A does 20% less work than B. if A can complete a piece of work in 7 ½ hours, then B can do it in

Answer»

6 HOURS



B can finish the WORK in 80% of 7 ½ hours of TIME 

7 ½ = 15/2 

Therefore, time taken by B = .8 × 15/2 = 30/5 = 6 hours.

162.

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in

Answer»

6 days



Suppose A, B and C TAKE X, x/2 and x/3 days RESPECTIVELY to finish the work.
Then, 1/x + 2/x + 3/x = 1/2
6/x = 1/2
 x = 12.
So, B takes (12/2) = 6 days to finish the work.

163.

A and B together can complete a piece of work in 4 days if A alone can complete the same work in 12 days, in how many days can B will alone complete that work?

Answer»

6 Days



NA

164.

A alone can complete a piece of work in 6 days and B alone can complete it in 12 days. In how many days can A and B together complete the same piece of work ?

Answer»

4 DAYS



A's one day's work = 1/6
B's day's work = 1/12
(A+B)'s one day's work = 1/6 + 1/12 = 3/12 = 1/4
So, A and B will COMPLETE the work TOGETHER in 4 days

165.

A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the

Answer»

300, 200, 250



NA

166.

3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish the work?

Answer»

4 days



3 men = 5 women 

1 WOMAN = 3/5 men 

So, 5 women = 3/5 × 5 = 3 men 

6 men and 5 women = 6 + 3 = 9 men 

1 WORK done = 3 men × 12 days 

3 × 12 = 9 × ? days 

? days = 3 × 12/9 = 4 days.

167.

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is

Answer»

8/15



A's 1 DAY's work = 1/15 ;

B's 1 day's work = 1/20 ;

(A + B)'s 1 day's work = ( 1/15 + 1/20 ) = 7/60 .

(A + B)'s 4 day's work = ( 7/60 x 4 ) = 7/15 .

THEREFORE, Remaining work = ( 1 - 7/15 ) = 8/15 .

168.

A and B together can complete a work in 3 days. They start together. But, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in

Answer»

6 days



A and B’s 1 DAY’s work = 1/3 

Their 2 day’s work = 1/3 × 2 = 2/3 

REMAINING work = 1/3 

1/3 of the work is finished by A in 2 days 

Then, the whole work can be finished by A ALONE in 3 × 2 = 6 days 

So, A’s 1 day’s work = 1/6 

Therefore, B’s 1 day’s work = 1/3 – 1/6 = 1/6 

Therefore, the whole work can be done B alone in 6 days

169.

A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in?

Answer»

10 DAYS



(A + B)'s 1 day work = 1/12;

(B + C)'s 1 day work = 1/15;

(A + C)'s 1 day work = 1/20

Adding, we get: 2(A + B + C)'s 1 day work = (1/12 + 1/15 + 1/20) = 1/5

(A + B + C)'s 1 day work = 1/10

So, A, B and C TOGETHER can complete the work in 10 days.

170.

A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?

Answer»

48



B = 1/16 – 1/24 = 1/48 => 48 DAYS

171.

If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in

Answer»

3 DAYS



That is, 1 person can do ONE TIME of the work in 3 days. 

Therefore, 7 persons can do 7 TIMES work in the same 3 days itself.

172.

A can do a piece of work in 12 days, while B can do it in 8 days with the help of C, they finish the work in 4 days. Then C alone can do the work in

Answer»

24 days



A and B together can do the work in 12 × 8/20 = 96/20 days 

A +B and C together do the work in 4 days. 

Then C alone can do the work in 96/20 × 4/96/20 – 4 days 

= 96/5/16/20 = 96/5 × 20/16 = 24 days.

173.

A can do the piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in

Answer»

 5 days



NA

174.

A works twice as fast as B. if B can complete a work in 12 days independently, the number of days in which A and B can together finish the work is:

Answer»

4 days



That is, if b ALONE can finish the work in 12 days, 

A alone can finish the work in 6 days.

If A can complete a work in x days and B can complete the same work in y days, then, both 

of them together can complete the work in x y/ x+ y days. 

THEREFORE, A and B can together finish the work in 6 × 12/18 days = 4 days.

175.

A can finish a work in 18 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»

1/6



B ALONE can do the same work in 9 DAYS 

So, the No. of days both of them together take to do the work = 18 × 9/ 18 + 9 

=18 × 9/27 = 6 days. 

The part of the work, they together finish in ONE DAY = 1/6.

176.

B and C work together can complete work in 8 days A and B together can complete same work in 12 days and A& C together complete in 16 days in total how many days A,B and C complete the same work toge

Answer»

7 5/13



(A+B+C)’s 2 day WORK = (1/8+1/12+1/16 ) = 13/48
on day work =13/96
so they COMPLETE work in 96 /13 = 7 5/13 DAYS

177.

The rates of working of A and B are in the ratio 3 : 4. The number of days taken by them to finish the work are in the ratio:

Answer»

4 : 3



The No. of days TAKEN by them = inverse RATIO = 4 : 3.

178.

3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?

Answer»

7



NA

179.

Ashokan is thrice as good a workman as Nitin and is therefore able to finish a piece of work in 40 days less than Nitin. Find the time in which they can do it working together.

Answer»

 15 days



NA

180.

Five bells begin to ring together at intervals of 8 sec, 6, sec, 4 sec, 12 sec and 10 sec respectively. How many times will they ring together in the duration of one hour (excluding the ring at the st

Answer»

30



LCM of 8, 6, 4, 12 and 10 is 120.
They ring together after every 120 seconds.
Therefore, for 1 HOUR they ring 3600/12 = 30 TIMES together.

181.

An empty pipe can empty 1/4 of a cistern in 15 minutes. In 5 minutes, what part of the cistern will be emptied ?

Answer»

1/12



1/12

182.

'A' can complete a piece of work in 5 days and ' B ' can complete the same piece of work in 10 days. In how many days can 'A' and ' B ' together complete the same work ?

Answer»

31 days



A can do 1/5 work per day.
B can do 1/10 work per day.
Therefore, (A + B) can do 1/5 + 1/10 = 3/10 per day
Therefore, Total NUMBER of days to COMPLETE work = 1/3/10 = 10/3 days

183.

A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

Answer»

4 days



NA

184.

Three workers working all days can do a work in 10 days. But one of them having other employment can work only half time. In how many days the work can be finished?

Answer»

12 days



Sum of each PERSONSONE day’s work = 1/3 ×10 + 1/3 ×10 + 1/3× 20 = 1/30 + 1/30 + 1/60 

= 5/60 = 1/12 

THEREFORE, the work can be FINISHED in 12 days

185.

Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work

Answer»

16 days



NA

186.

A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?

Answer»

12 HOURS



A's 1 HOUR work = 1/4;

(B + C)'s 1 hour work = 1/3;

(A + C)'s 1 hour work = 1/2

(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12

B's 1 hour work = (7/12 + 1/2) = 1/12

B ALONE will take 12 hours to do the work.

187.

A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.

Answer»

1 ½ days



3/20 * 2 + (2 + x)/5 = 1
x = 1 ½ days

188.

A and B can do a piece of work in 15 days. B and C can the same work in 10 days and A and C can do the same in 12 days. Time taken by A, B and C together to do the job is

Answer»
189.

A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?

Answer»

6 HOURS



Suppose A, B and C TAKE x, x/2 and x/3 respectively to finish the work.

Then, (1/x + 2/x + 3/x) = 1/2 

6/x = 1/2 => x = 12 

So, B takes 6 hours to finish the work.

190.

12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?

Answer»

2 days



1 MAN's 1 DAY WORK = 1/108

 12 men's 6 day's work = 1/9 * 6 = 2/3

Remaining work = 1 - 2/3 = 1/3

18 men's 1 day work = 1/108 * 18 = 1/6

1/6 work is done by them in 1 day.

1/3 work is done by them in 6 * 1/3 = 2 days.

191.

'A' can do a work in 20 days and 'B' can do it in 30 days. If'B' leaves the job after six days, in how many day will 'A' do the remaining work ?

Answer»

16 DAYS



Number of days = (30-6) X 20/30 = 24x20/30 = 16

192.

Two persons A and B can finish a piece of work in 60 days, while A, B, and C can finish the same work in 40 days. How many days will C alone take to finish the work ?

Answer»

120 days



WORK DONE by A and B TOGETHER in one day = 1/60
Work done by A, B and C together in one day = 1/40
Work done by C in one day= 1/40 - 1/60 = 3-2/120 = 1/120
∴ C will TAKE 120 days to finish the work.

193.

3 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?

Answer»

15/4



3M = 6W ---- 20 days

12M + 8W -----?

24W + 8 W = 32W ---?

6W ---- 20

194.

A and B can do a piece of work in 40 days and 50 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed?

Answer»

28 DAYS



(A+B)’s 10 days work = 10[1/40+1/50]=10[5+4/200]= 9/20
A complete REMAINING work in 9/20*40 = 18
Total work = 10+18 = 28days 

195.

A can finish a work in 12 days and B can finish the same work in 24 days. How many days will they take to finish the work together ?

Answer»

8 DAYS



Part of WORK that A can do in ONE DAY= 1/12
Part of work that B can do in one day = 1/24
Part of work that A and B together can do in one day = 1/12 + 1/24
= 2+1/24
= 3/24
= 1/8
So, A and B together will TAKE 8 days to finish the work.

196.

18 women can complete a work in 12 days and 12 men can complete the same work in 9 days. In how many days will 8 men and 8 women complete that work?

Answer»

9



NA

197.

Twelve men and six women together can complete a piece of work in four days. The work done by a women in one day is half the work done by a man in one day. If 12 men and six women started working and

Answer»

2(1/2)



Work done by a women in one day = 1/2 (work done by a MAN/day)

 One women's CAPACITY = 1/2(one man's capacity) 

One man = 2 women. 

12 MEN = 24 women. 

12 men + 6 women = 30 women

 30 women can complete the work in four days. In the FIRST 2 days they can complete 1/2 of the work. Remaining part of the work = 1/2. If 6 men leave and 6 new women join, then new work force = 30 women - 12 women + 6 women = 24 women. 

Time taken by them to complete the remaining work = 1/2 (Time taken by 24 women to complete the work) = 1/2 * (30 * 4)/24 = 2 (1/2) days.

198.

Eight men, ten women and six boys together can complete a piece of work in eight days. In how many days can 20 women complete the same work if 20 men can complete it in 12 days?

Answer»

Cannot be determined



Let the NUMBER of UNITS which can be completed by each man, each WOMEN and each BOY be m/day, w/day and b/day RESPECTIVELY

Work = 8(8m + 10w +6b)units = 12(20m)

 10w +6b = 22m 

b is unknown. 

We cannot find the relation between m and w. 

We cannot answer the question.

199.

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



NA

200.

A alone can complete a work in 16 days and B alone can complete in 12 days. Starting with A they work on alternate days. The total work will be completed in?

Answer»

13 ¾



(A+B)’s 2 DAY work = 1/16 + 1/12 = 7/18
work done in 6 PAIRS of days=7/48 x 6 = 7/8
remaining work = 1/8
work done by A on 13th day =1/16 remaining work = 1/16
on 14th day its B TURN 1/12 work is done by B in 1 day 1/16 work is done by B in 12 x 1/16 = 3/4 day
total time taken =13 ¾ days