it takes 50 people 256 days to build a road how long will it take 80 people

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05-09-2022
Mathematics

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it takes 50 people 256 days to build a road how long will it take 80 people

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varshamittal029 varshamittal029 · Answer 1 · 2022-09-08T02:47:16-04:00

The answer is that 80 people will build the same road in 160 days.

Given that 50 people take 256 days to build a road.

And we need to find out how many days will 80 people take to build the same road.

Disclaimer: Assuming that the work done by all the people are same.

If the number of people increases, the time taken to build the road decreases in the same proportion. Clearly, the number of people varies inversely to the number of days.

Let x denote the number of days required to build the road for 80 people.

Then the ratio, 80/50 = 256/x

⇒ x = (256×50)/80 = 160

Therefore, 80 people will build the same road in 160 days.

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it takes 50 people 256 days to build a road how long will it take 80 people

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