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Time and Work

Time and Work - Important Points


21. A is 50% as efficient as B. C is half as efficient as A and B together. If C alone does the work in 40 days, then A ,B and C together can complete the work in:

A. 13 1/3 days

B. 15 days

C. 16 2/3 days

D. 20 days

Discuss Work Space

Answer: option a

Explanation:

If B does 4 unit/day, then, A does 2 unit/day and C does 3 unit/day.
Total work = 40 x 3 = 120 unit
Working together, they can do it in 120/9 = 40/3 days.


22. After working for 6 days, Abhi finds that only 1/3 rd of the work has been done. He employs Biswas who is 60% as efficient as Abhi. How many days more would Biswas take to complete the work?

A. 18 days

B. 19 days

C. 20 days

D. 21 days

Discuss Work Space

Answer: option c

Explanation:

Abhi does the work in 6 x 3 = 18 days
Biswas does it in 18/(0.6) = 30 days
Let total work is 90.
Biswas does 3 unit/day and Abhi 5 unit/day.
Abhi has done 30 unit in 6 days and 60 unit is left.
Biswas will complete it in 60/3 = 20 days


23. Akhil and Bishnu working together completed a job in 5 days. If Akhil worked with twice of his efficiency and Bishnu worked with 1/3 rd of his efficiency, the work would have been completed in 3 days. Akhil alone could complete the work in:

A. 6 days

B. 25/4 days

C. 15/2 days

D. 8 days

Discuss Work Space

Answer: option b

Explanation:

Let Akhil does x unit/day and Bishnu 3y unit/day.
Given, Total work = 5(x + 3y) = 3(2x + y)
=> x = 12y
Work done by Akhil alone in [5(x + 3y)]/x = 75y/12y = 25/4 days


24. 12 men can complete a job in 12 days. How many extra days will be needed to complete the job if 6 men leave after working for 6 days?

A. 3

B. 6

C. 9

D. 12

Discuss Work Space

Answer: option b

Explanation:

Man days to complete the job = 12 x 12 = 144
6 men in 6 days completed = 36 job
Job left = 144 - 36 = 108
Number of days required to complete this job = 108/6 = 18
So, 6 more men are needed.


25. 20 men completed one-third of a job in 20 days. How many more men should be employed to finish the rest of the work in 25 more days?

A. 10

B. 12

C. 15

D. 18

Discuss Work Space

Answer: option b

Explanation:

Work done = 20 x 20 = 400 men-days (1/3 rd)
Work left = 800
men needed for this = 800/25 = 32
So, (32 - 20) = 12 more men are needed.



Time and Work Questions and Answers FAQ

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