Question 51

A certain job was assigned to a group of men to do in 20 days. But 12 men did not turn up for the job and the remaining men did the job in 32 days. The original number of men in the group was-

Solution

Let there be x men initially. They were supposed to complete the work in 20 days.

When 12 men didn't show up the work was done in 32 days

So, x- 12 men did the work in 32 days

But x-12 men were supposed to take 20x/ (x-12) days

So, 20 x/ (x-12) = 32

so,

x = 32

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