Question

20 men can do 60% of a piece of work in 16 days. 12 women can do 30% of the same work in 15 days. Then in how many days can 100% of the same work be done by 8 men and 18 women ?

Answer 1

Hey

Here is your answer,

20 men - 60% work - 16 days

=> 20 men - 100 % work - 80/3 days (by interpolation method)

=> 1 men alone can do it in 1600/3 days

so 1 men’s one day work is 3/1600 th work

now

12 women - 30% work - 15 days

=> 12 women - 100% work - 50 days (by interpolation method)

=> 1 women alone can do it in 600 days

so 1 women,s one day work is 1/600

so (8 men and 18 women)’s one day work is

8*(3/1600) + 18*(1/600) = 9/200

=> no of days is 1/9/200

=> 200/9

=> 22 2/9 days

Hope it helps you!