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Question

10 men can complete a piece of work in 10 days. In how many days will 5 men complete double the work.

A
40 days
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B
60 days
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C
20 days
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D
10 days
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Solution

The correct option is A 40 days
The number of men (M) required to complete a work is directly proportional to the amount of work (W).

M W...(1)

The number of men (M) required to complete a work is inversely proportional to the number of days required to do the work (D).

M1D...(2)

Combining (1) and (2), we get,

MWD

Let k be the constant of variation.
So, M=kWD

MDW=K(constant)

Let the number of days required to complete double the work by 5 men be x days.

Hence, (10)(10)W =(5)(x)2W

100=5x
So,x=40 days

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