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A, B and C can complete a work in 2h. I...

A, B and C can complete a work in 2h. If A does the job alone in 6h and B in 5h, how long will it take for C to finish the job alone ?

A

` 5 (1)/( 2) h `

B

` 7 (1)/(2) h `

C

9 h

D

`4 (1)/( 2) h `

Text Solution

Verified by Experts

The correct Answer is:
B
Let C alone can finish the job in x h According to the questions,
Work done by A, B and c in 1 h = `(1)/(2)`
`rArr (1)/(6) + (1)/(5) + (1)/(x) = (1)/(2)`
`rArr (1)/(x) = (1)/(2) - (1)/(6) - (1)/(5) = ( 15 - 5 - 6)/( 30)`
`= (4)/(30) = (2)/(15)`
`:. x = 7 (1)/(2) h `
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