Question

A boat with some water at its bottom was found leaking again. Assume that water goes into the boat at a constant rate. 3 hours are needed to get all the water out of the boat when 10 people work together. It takes 8 hours to get all the water out if 5 people work together. How many people are needed to get all the water out in 2 hours

Answer 1

The Number of people is 12 when time taken is 2 hours.

According to the statement

Time taken when 10 people works is 3 hours

Time taken when 5 people works is 8 hours

Then we have to find the number of peoples when time taken is 2 hours.

So, average time that for which single person works is 180 min/ 10 = 18 min.

It means the average time for single person works is 18 min in case of 10 people.

and one thing is clear that the number of people is greater than 10 people when time taken is 2 hours.

So, The Number of people is 12 when time taken is 2 hours.

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