Question

. A, B and C working together can finish a piece of
work in 8 hours. A alone can do it in 20 hours
and B alone can do it in 24 hours. In how many
hours will Calone do the same work?​

Answer 1

Answer:

ANSWER

A,B,C working together complete a work in 8 hours.

∴ In one hour they can complete = 1/8

th of work.

A can alone do the work in 20hr

∴ In one hour A can complete

1/20

th of work.

B can alone do the work in 24hr.

∴ In one hour B can do 1/24

th of work.

Let in one hour C can do 1/xth of work.

1/20 + 1/24 + 1/x = 1/8

20+24

_______ + 1/x = 1/8

20× 24

44/120 + 1/x = 1/8

1/x = 1/8 - 11/120

=> 15 - 11 / 120

=> 4/120

=> 1/30 th Work

so C can do 1 work in 30 days