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A work is started by 15 people. After 5 days, 5 more people accompanied them to finish the work in next 10 days. How many people should have started the work to finish it in 11 days?Options2420None of these2522

Question

A work is started by 15 people. After 5 days, 5 more people accompanied them to finish the work in next 10 days. How many people should have started the work to finish it in 11 days?Options2420None of these2522

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Solution

The problem can be solved by first understanding the work done by people in the given days.

  1. 15 people started the work and worked for 5 days. So, the work done by them is 15*5 = 75 man-days.

  2. After 5 days, 5 more people joined them. So, the total number of people became 20. These 20 people worked for the next 10 days. So, the work done by them is 20*10 = 200 man-days.

  3. The total work is therefore 75 man-days (from the first 5 days) + 200 man-days (from the next 10 days) = 275 man-days.

  4. Now, we need to find out how many people should have started the work to finish it in 11 days. Let's assume the required number of people to be 'P'.

  5. Since work is equal to man-days, we have the equation P*11 = 275.

  6. Solving this equation for P, we get P = 275/11 = 25.

So, 25 people should have started the work to finish it in 11 days. Therefore, the answer is 25.

This problem has been solved

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