270 + Interview Questions in Time and Work in Quantitative Aptitude Page 6 InterviewSolution

251.	A wall of 100 metres can be built by 7 men or 10 women in 10 days. How many days will 14 men and 20 women take to build a wall of 600 metres ?
Answer» 15 DAYS 15 days

251.

A wall of 100 metres can be built by 7 men or 10 women in 10 days. How many days will 14 men and 20 women take to build a wall of 600 metres ?

Answer»

15 DAYS

15 days

Discussion

252.	A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was compl
Answer» 12 days (A + B)'s 1 DAY's WORK = ( 1/15 + 1/10 ) = 1/6 . Work done by A and B in 2 days = ( 1/6 x 2 ) = 1/3 . REMAINING work = ( 1 - 1/3 ) = 2/3 . Now, 1/15 work is done by A in 1/ day. Therefore 2 work will be done by a in ( 15 x 2/3 ) = 10 days. Hence, the total time taken = (10 + 2) = 12 days.

252.

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was compl

Answer»

12 days

(A + B)'s 1 DAY's WORK = ( 1/15 + 1/10 ) = 1/6 .
Work done by A and B in 2 days = ( 1/6 x 2 ) = 1/3 .
REMAINING work = ( 1 - 1/3 ) = 2/3 .
Now, 1/15 work is done by A in 1/ day.
Therefore 2 work will be done by a in ( 15 x 2/3 ) = 10 days.
Hence, the total time taken = (10 + 2) = 12 days.

Discussion

253.	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, In how many days they will complete the work?
Answer» 10 Days NA

253.

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, In how many days they will complete the work?

Answer»

10 Days

NA

Discussion

254.	2 men can complete a work in 6 days. 2 women can complete the same work in 9 days, whereas 3 children can complete the same in 8 days. 3 women & 4 children worked together for 1 day. If only men were
Answer» 8 2 x 6 men = 18 women = 24 children 2 men = 3 women = 4 children 3 women + 4 children = 4 men part of work DONE in 1 day by 4 men = 1/3 ∴ Remaining 2/3 work will be finished by 8 men in 1 day.

254.

2 men can complete a work in 6 days. 2 women can complete the same work in 9 days, whereas 3 children can complete the same in 8 days. 3 women & 4 children worked together for 1 day. If only men were

Answer»

8

2 x 6 men = 18 women
= 24 children
2 men = 3 women = 4 children
3 women + 4 children = 4 men
part of work DONE in 1 day by 4
men = 1/3
∴ Remaining 2/3 work will be finished by 8 men in 1 day.

Discussion

255.	A and B together can complete a piece of work in 8 days while B and C together can do it in 12 days. All the three together can complete the work in 6 days. In how much time will A and C together comp
Answer» 8 DAYS A’s 1 day’s WORK = A + B + C’s 1 day’s work – B + C’s 1 day’s work = 1/6 – 1/12 = 1/12 B’s 1 day’s work = A + B’s 1 day’s work – A’s 1 day’s work = 1/8 – 1/12= 1/24 C’s 1 day’s work = B+ C’s 1 day’s work – B’s 1 day’s work = 1/12 – 1/24 = 1/24 A +B’ 1 day’s work = 1/12 + 1/24 = 3/24 Therefore, A and C together will FINISH the whole work in 24/3 = 8 days

255.

A and B together can complete a piece of work in 8 days while B and C together can do it in 12 days. All the three together can complete the work in 6 days. In how much time will A and C together comp

Answer»

8 DAYS

A’s 1 day’s WORK = A + B + C’s 1 day’s work – B + C’s 1 day’s work = 1/6 – 1/12

= 1/12

B’s 1 day’s work = A + B’s 1 day’s work – A’s 1 day’s work = 1/8 – 1/12= 1/24

C’s 1 day’s work = B+ C’s 1 day’s work – B’s 1 day’s work = 1/12 – 1/24 = 1/24

A +B’ 1 day’s work = 1/12 + 1/24 = 3/24

Therefore, A and C together will FINISH the whole work in 24/3 = 8 days

Discussion

256.	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 will do this work in -
Answer» 8 Days NA

256.

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 will do this work in -

Answer»

8 Days

NA

Discussion

257.	A can finish a work in 24 days, B in 9 days and Dc in 12 days. B & C start the work but are forced to leave after 3 days. The remaining work done by A in-
Answer» 10 Days NA

257.

A can finish a work in 24 days, B in 9 days and Dc in 12 days. B & C start the work but are forced to leave after 3 days. The remaining work done by A in-

Answer»

10 Days

NA

Discussion

258.	A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days A alone can finish the remaining work?
Answer» 6 Days NA

258.

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days A alone can finish the remaining work?

Answer»

6 Days

NA

Discussion

259.	A is 30% more efficient than B. a can complete a work in 23 days. If A and B work together, how much time will it take to complete the same work?
Answer» 13 Days NA

259.

A is 30% more efficient than B. a can complete a work in 23 days. If A and B work together, how much time will it take to complete the same work?

Answer»

13 Days

NA

Discussion

260.	Ram and Shyam together can finish a job in 8 days. Ram can do the same job on his own in 12 days. How long will Shyam take to do the job by himself?
Answer» 24 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 No. of days Shyam take to finish the job alone = 8 × 12/12 – 8 = 8 × 12/4 = 24 days.

260.

Ram and Shyam together can finish a job in 8 days. Ram can do the same job on his own in 12 days. How long will Shyam take to do the job by himself?

Answer»

24 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 No. of days Shyam take to finish the job alone = 8 × 12/12 – 8

= 8 × 12/4 = 24 days.

Discussion

261.	A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
Answer» 4 days NA

261.

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

Answer»

4 days

NA

Discussion

262.	A works twice as fast as B.If B can complete a work in 18 days independently,the number of days in which A and B can together finish the work is:
Answer» 6 days NA

262.

A works twice as fast as B.If B can complete a work in 18 days independently,the number of days in which A and B can together finish the work is:

Answer»

6 days

NA

Discussion

263.	If 5 girls can embroider a dress in 9 days, then the number of days taken by 3 girls will be
Answer» 15 DAYS That is, 5 × 9 = 3 × ? ? = 5 × 9/3 = 15 days.

263.

If 5 girls can embroider a dress in 9 days, then the number of days taken by 3 girls will be

Answer»

15 DAYS

That is, 5 × 9 = 3 × ?

? = 5 × 9/3 = 15 days.

Discussion

264.	A and B can finish a piece of work in 12 days and 18 days respectively. A begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in
Answer» 14 1/3 DAYS Both of them TOGETHER can finish the WORK (daily WORKING) in 12 × 18/30 days = 36/5

264.

A and B can finish a piece of work in 12 days and 18 days respectively. A begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in

Answer»

14 1/3 DAYS

Both of them TOGETHER can finish the WORK (daily WORKING) in 12 × 18/30 days = 36/5

Discussion

265.	A can finish a work in 15 days, B in 20 days and C in 25 days. All these worked together and earned Rs. 4700. The share of C is
Answer» RS. 1200 NA

265.

A can finish a work in 15 days, B in 20 days and C in 25 days. All these worked together and earned Rs. 4700. The share of C is

Answer»

RS. 1200

NA

Discussion

266.	A is thrice good a workman as B and therefore is able to finish a job in 60 days less than B. Working together they can do it in?
Answer» 22 ½ Ratio of TIMES by A and B= 1:3 difference of time is 2 days B takes 3 days if DIFF of time is 60 days B takes 3/2 *60 =90 days A’s 1day work is=1/30 B’s 1 day work =1/90 (A+B )’s ONE day

266.

A is thrice good a workman as B and therefore is able to finish a job in 60 days less than B. Working together they can do it in?

Answer»

22 ½

Ratio of TIMES by A and B= 1:3
difference of time is 2 days B takes 3 days if DIFF of time is 60 days B takes 3/2 *60 =90 days
A’s 1day work is=1/30
B’s 1 day work =1/90
(A+B )’s ONE day

Discussion

267.	A and B can do a piece of work in 5 days; B and C can do it in 7 days and A and C can do it in 4 days who among these will take least time if put to do it alone?
Answer» A NA

267.

A and B can do a piece of work in 5 days; B and C can do it in 7 days and A and C can do it in 4 days who among these will take least time if put to do it alone?

Answer»

A

NA

Discussion

268.	A can do piece of work in same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days then B alone could do it in?
Answer» 25 (A+B )’s ONE DAY

268.

A can do piece of work in same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days then B alone could do it in?

Answer»

25

(A+B )’s ONE DAY

Discussion

269.	A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it in 90 days In what time can A alone do it?
Answer» 120 ( A + B)’s ONE DAY work is 1/72 ( C + B)’s one day work is 1/120 ( A +C)’s one day work is 1/90 2(A+B+C )’s one day work is: (1/72 +1/120 +1/90) = 12/360 =1/30 (A+B+C )’s one day work is: 1/60 A’s 1 day work is =(1/60 - 1/120) = 1/120 =>120 days

269.

A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it in 90 days In what time can A alone do it?

Answer»

120

( A + B)’s ONE DAY work is 1/72
( C + B)’s one day work is 1/120
( A +C)’s one day work is 1/90
2(A+B+C )’s one day work is: (1/72 +1/120 +1/90) = 12/360 =1/30
(A+B+C )’s one day work is: 1/60
A’s 1 day work is =(1/60 - 1/120) = 1/120 =>120 days

Discussion

270.	A can do a piece of work in 4hrs.B and C together can do it 3 hrs while A and C can do it in 2 hrs how long it will take for B?
Answer» 12 A’s 1 HR

270.

A can do a piece of work in 4hrs.B and C together can do it 3 hrs while A and C can do it in 2 hrs how long it will take for B?

Answer»

12

A’s 1 HR

Discussion

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