Time and Work
Time and Work - Important Points
| 16. | Atul can do a piece of work in 12 days. Bikram can do it in 16 days. Atul started the work alone. After how many days should Bikram join him, so that the work is completed in 9 days? |
|---|
A. 2 days
B. 3 days
C. 4 days
D. 5 days
View Answer Discuss Work SpaceAnswer: option d
Explanation:
Let total work = LCM (12,16) = 48 unit
In 1 day, Atul does 4 unit work.
In 1 day, Bikram does 3 unit work.
Let Bikram join after y days.
=> Total wotk = Work done by Atul in y days + Work done by both in (9 - y) days
=> 48 = (4y) + (7) x (9 - y)
=> 48 = 63 - 3y
=> 3y = 15 OR y = 5
| 17. | Amit can do a piece of work in 10 days whereas Bipan can do in 15 days. They begin together but 2 days before the scheduled completion of the work, Amit leave off. The total number of days to complete the work is: |
|---|
A. 8 days
B. 9 days
C. 10 days
D. 12 days
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Let total work = LCM (10,15) = 30 unit
In 1 day, Amit does 3 unit work.
In 1 day, Bipan does 2 unit work.
Scheduled completion time = 30/5 = 6 days
In 4 days, both did 5 x 4 = 20 unit work
Remaining work (10 units) to be done by Bipan in = 10/2 = 5 days
Total work completed in = 4 + 5 = 9 days
| 18. | Asim is 20% more efficient than Beer, who can complete a work in 72 days. If they are work together, in how many days the work can be completed? |
|---|
A. 30 days
B. 336/11 days
C. 360/11 days
D. 368/11 days
View Answer Discuss Work SpaceAnswer: option c
Explanation:
If total work is 72 x 5 = 360 unit
Beer does 5 unit per day and Asim 6 unit per day.
Working together they complete in 360/11 days
| 19. | Alice is thrice as efficient as Bleek and is, therefore, able to finish a work 10 days earlier than Bleek. In how many days Alice and Bleek will finish it together? |
|---|
A. 7/2 days
B. 15/4 days
C. 3 days
D. 4 days
View Answer Discuss Work SpaceAnswer: option b
Explanation:
If, Bleek does 1 unit work/day and complete it in x days.
Then, Alice does 3 unit work/day and complete it in (x - 10) days.
=> 3(x - 10) = x => x = 15
Working together, they will complete the work in 15/4 days.
| 20. | Alice is thrice as good as workman as Bony and therefore is able to finish a job in 40 days less than Bony. Working together, they can do it in: |
|---|
A. 15 days
B. 18 days
C. 20 days
D. 25 days
View Answer Discuss Work SpaceAnswer: option a
Explanation:
If, Bony does 1 unit work/day and complete it in x days.
Then, Alice does 3 unit work/day and complete it in (x - 40) days.
=> 3(x - 40) = x => x = 60
Working together, they will complete the work in 60/4 = 15 days.
Time and Work Questions and Answers FAQ
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