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Fifty-four men can complete a work in 48 days. After 8 days of working, thirty-six more men joined them. How many days will they now take to complete
Question

Fifty-four men can complete a work in 48 days. After 8 days of working, thirty-six more men joined them. How many days will they now take to complete the remaining work?

A.

24

B.

20

C.

32

D.

28

Correct option is A

Given:
54 men can complete the work in 48 days.
They worked for 8 days initially.
After 8 days, 36 more men joined (so total men = 54 + 36 = 90).
Formula Used:
Work = Men × Days
Solution:
Total work (in man-days) = 54 × 48 = 2592 man-days
Work done in first 8 days = 54 × 8 = 432 man-days
Remaining work = 2592 − 432 = 2160 man-days
Now total men = 90 =>
work done per day = 90 man-days
Time to finish remaining work = 216090\frac{2160}{90}​ = 24 days

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