a can do a piece of work in 6 days and b..., Time & Work, General Mathematics

Question:A can do a piece of work in 6 days and B alone can do it in 8 days. A and B undertook to do it for Rs. `640`. With the help of C, they finished it in 3 days. How much is paid to C ?

A `Rs. 75` 
B `Rs. 80` 
C `Rs. 120` 
D `Rs. 160`

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+ AnswerB

+ Explanationsolution:
C's 1 day's work `= 1/3 - (1/6 + 1/8)`
                           `= (1/3 - 7/24)`
                           `= 1/24`.
`:. A : B : C = 1/6 : 1/8 : 1/24`
                  `= 4 : 3 : 1`
`:.` C's share `= Rs. (640 xx 1/8)`
                    `= Rs. 80`.

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