A B and C can do a piece of work individually in 8 10 and 15 days respectively A and B start working...........

Quantitative Aptitude (CDS) Time and work

A, B and C can do a piece of work individually in 8, 10 and 15 days, respectively. A and B start working but A quits after working for 2 days. After

this, C joins B till the completion of work. In how many days will the work be completed?

53/9 days

34/7 days

85/13 days

53/10 days

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Explanation:

A work in one day =1/8
B work in one day =1/10
C work in one day =1/15
A+B work in one day =1/8+1/10=9/40
A+B work in two day =2×9/40=9/20
Remaining work 1 -9/20=11/20
B + C work in one day =1/10+1/15=1/6
So, (B+ C) a work together in 6 days.11/20
Work together = 6×11/20
=11×3/10=33/10 days

total days=2+33/10=53/10days