Question

8 men and 12 boys can finish a piece of work in 5 days while 6 men and 8 boys can finish it in 7 find the time taken by 1 man alone and that 1 boy alone finish the work​

Answer 1

......like this

Given...

Number of men =8

number of boy =12

take 5 days

While..

6 men and 8 boys

take 7 days ..

let the men =x

the boy = y

part of work by one men= x/7

part of work by one boy= y/12

equation is x/7+y/12= 1/5.....

.....eq(1)....

for other part........

part of work by a men =x/6

part of work by a boy= y/8

equation is x/6+y/8= 1/7.........this is

eq (2)......

solve eq (1)&(2) ....

x/8+y/12=1/5.......(1)

x/6+y/8=1/7.......(2)

solve both of the eq

then you will get

your answer

hope you like this....