If 45 men can do a piece of work in 49 days, in how many days will 35 men do it?

NUMBER OF MEN            NUMBER OF DAYS
4549
35x

since the number of men and number of days vary inversely,
so, 45 * 49 = 35 * x
so, x = (45 * 49) / 35 = 63
so, 35 men will require 63 days to complete the work.
 

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If 45 men can do a piece of work in 49 days,

1 man can do the same work in 49*45 days, and

35 men can do the same work in (49*45) / 35 days = 63 days.

This question is an example of inverse proportion, i.e. more the people doing the job, lesser the time needed to complete it.

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