20 men and 15 boys can do a piece of word in 10 days. 25 men and 10 boys can do it in 9 days. find the ratio of the daily work done by a man to that of a boy.
Given:
20 men and 15 boys can do a piece of work in 10 days and 25 men and 10 boys can do it in 9 days.
Formula Used:
Total Work = Working capacity × total time taken
Solution:
Let the working capacity of men be ‘x’
Let the working capacity of boys be ‘y’
According to the question
=> (20 x + 15 y) × 10 = (25 x + 10 y) × 9
=> 200 x + 150 y = 225 x + 90 y
=> 60 y = 25 x
=> 12 y = 5 x
=> y/x = 5/12
So,
=> x : y = 12 : 5
Hence, option (c) is the correct answer.
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