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If 40 men can build a road in 10 days, then in how many days 20 men can build the same road?

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20 days

16 days

13 days

19 days

answer is A.

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Detailed Solution

Given,
Time taken by 40 men to build a road = 10 days.
Let us consider the time taken by 20 men to build the same road be x days.
Then,

No. of days	10	x
No. of men	40	20

We can clearly observe that, more the number of men less the number of days.
Therefore, this is the case of inverse proportion.
As this is case of inverse proportion, therefore the product will remain constant throughout table that is,

40 × 10 = 20 × x

Dividing both sides by 20,

x = 40020

x = 20

Hence, the time taken by 20 men to build the road is 20 days.
Therefore, option 1 is correct.

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