Question

7.
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 C alone do the same
work?​

Answer 1

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Answer 2

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/x

th of work.

∴

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

⇒ 1/x=1/8-(1/20+1/24)

1/x= 1/8-(44/20×24)

1/x=1/8-11/120

1/x=(15-11)/120

1/x=4/120

1/x=1/30

∴ C can do the same work in 30 hours.