Question

ab and c can working together to do apeice of workin 8hour a alone can do a work in 20 b alone can do awork in 24 hours in how many c alone can do awork

Answer 1

Question :

A, B and C can working together to do apeice of workin 8hour a alone can do a work in 20 b alone can do a work in 24 hours in how many c alone can do a work

Solution :

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

∴ In one hour they can ccomplete 1/8 th of work.

A can alone do the work in 20hr

∴ In one hour A can complete 1/20th of work.

B can alone do the work in 24hr.

∴ In one hour B can do 1/24th of work.

Let in one hour C can ddo1/x th of work.

∴ 1/20+ 1/24 + 1/x

⇒1/x = 1/8 −( 1/20+ 1/24)

= 1/8−44/20×24

= 1/8− 11/120

= 15−11/120

= 4/120

= 1/30

∴ C can do the same work in 30 hours.

Answer 2

Answer:

A+B+C = 1/8

A= 1/20

B= 1/24

C=?

1/20 + 1/24 + 1/C = 1/8

11/120 + 1/C = 1/8

1/C = 1/8 - 11/120

1/C = 15-11/120

1/C = 4/120= 1/30

therefore, C alone can do work in 30 hours

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