Question

8 mens and 12 womens can finish a piece of work in 10 days while 6 mens and 8 boys can finish it in 14 days. The time taken by man a!one to finish the work is...,​

Answer 1

Let work done by 1 man in 1 day = a

work done by 1 woman in 1 day = b

8 men and 12 women finish in 10 days

So in 1 day they finish 1/10 th work

8a + 12 b= 1/10 .....(1). × 2

6 men and 8 women finish in 14 days

6a+ 8b = 1/14 ....(2) × 3

16a + 24 b= 1/5( from 1)

18 a + 24b = 3/14 ( from 2)

Subtract

-2a = 1/5 - 3/14 = 14 - 15)/70 = -1/70

a= 1/140

So Work done by 1 man in 1 day = 1/140

So total work done by 1 man in 140 days