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Question

A and B can do a work in 10 days, B and C in 15 days and A and C in 12 days. In how many days the work will be finished by A,B and C working together.

A
6
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B
7
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C
8
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D
9
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Solution

The correct option is C 8
According to the question-

1A+1B=110.....(1)

1B+1C=115.....(2)

1C+1A=112.....(3)

Adding equation (1),(2)&(3), we have

(1A+1B)(1B+1C)+(1C+1A)=110+115+112

2(1A+1B+1C)=6+4+560

1A+1B+1C=152×60=18

Hence the work will be finished in 8 days by A,B and C working together.

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