Question 66

Two men undertake to do a piece of work for Rs. 1,400. First man alone can do this work in 7 days while the second man alone can do this work in 8 days. If they working together complete this work in 3 days with the help of a boy, how should money be divided?

Solution

Money is divides in the ratio of amount of work done or in inverse ratio of number of days taken to do the work.

So, let boy take b days to complete work.

1/7 + 1/8 + 1/b = 1/3

1/b = 11/168

b = 168/11

Ratio of days = 7:8:168/11

Amount of Rs. 1400 is divided in inverse ratio:1/7:1/8:11/168 = 24:21:11

So the amount would be 600 , 525, 275 rupees.

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