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20 men can complete a piece of work in 10 days but after every 4 days 5 men are called off. In what time will the work be finished?Marks : 2Negative Marks : 0Answer here16 days17 days12 days14 days

Question

20 men can complete a piece of work in 10 days but after every 4 days 5 men are called off. In what time will the work be finished?Marks : 2Negative Marks : 0Answer here16 days17 days12 days14 days

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Solution

Let's solve this step by step:

  1. Initially, 20 men can complete the work in 10 days. So, the total work can be represented as 20*10 = 200 man-days.

  2. For the first 4 days, all 20 men are working. So, the work done in these 4 days is 20*4 = 80 man-days.

  3. After 4 days, 5 men are called off, leaving 15 men to work. Let's assume they work for 'x' days. So, the work done by these 15 men is 15*x man-days.

  4. The total work done should be equal to the total work, i.e., 80 man-days (from the first 4 days) + 15*x man-days (from the remaining days) = 200 man-days.

  5. Solving the above equation, we get 15x = 200 - 80 => 15x = 120 => x = 120/15 => x = 8 days.

  6. So, the remaining work is done in 8 days after the first 4 days.

  7. Therefore, the total time taken to finish the work is 4 (initial days) + 8 (remaining days) = 12 days.

So, the work will be finished in 12 days.

This problem has been solved

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