A and B together can finish a job in 20 days B and C together can finish the same job in 30 days If ...........

Quantitative Aptitude( Paper-I ) Time and work

A and B together can finish a job in 20 days. B and C together can finish the same job in 30 days. If A and C together can finish it in 24 days, in how many days can A alone finish the job?

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CAPF 2021 Paper-1

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35 days

37 days

34 2/7 days

33 days

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Explanation:

34 2/7 days.

Work done by A and B in one day, 1/A+1/B =1/20 ……(1)
Work done by B and C in one day, 1/B +1/C = 1/30 ….. (2)
Work done by A and C in one day, 1/A+ 1/C= 1/24 ……(3)
By adding above equations we will get work done by A, B and C in one day, 1/A+1/B+1/C= 1/16 ……(4)
Subtracting equation 2 from equation 4 we will get work done by A in one day and reciprocal of it will give us number of days will require to A for completion of work, i.e 34 2/7 days.

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