Q13 of 24 Page 213

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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