# 4 men and 6 boys can finish a piece of work in 5 days while 3 men and 4 boys can finish it in 7 days. Find the time taken by 1 man alone or that by 1 boy alone.

Let the time taken by the boy be x and the time taken by the men be y.

According to question

…(1)

…(2)

Equation 1 can be written as

Equation 2 can be written as

we have

…(3)

…(4)

Multiply 3 by 3 and 4 by 4 we get

Subtracting above equations we get

substituting v in above equation we get

we get x = 35 and y = 70
Time taken by boy = 35 days

Time taken by men = 70 days.

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