A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 2340, what will be C's share of the earnings?

1 Answer
Shwetank Mauria
May 13, 2016

C's share in earnings will be $520.

Explanation:

As A, B and C, each working alone complete a job in 6, 8 and 12 days, respectively, they do 1/6, 1/8 and 1/12 of the job in a day.

Hence they together do 1/6+1/8+1/12=4/24+3/24+2/24=9/24=3/8 of the job in one day or complete the job in 8/3=2 2/3 days.

Note that work done by them is in the ratio 1/6:1/8:1/12hArr4/24:3/24:2/24hArr4:3:2.

As the work done by them is in the ratio of 4:3:2 (their sum is 4+3+2=9),

C's share in earnings will be $2340xx2/9=260cancel(2340)xx2/(1cancel9)=$520.

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