A and B together can do a piece of work in 12 days which B and C together can do in 16 days After A ...........

Quantitative Aptitude ( CCS) Time and work

A and B together can do a piece of work in 12 days which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days could each do the work by himself ?

24, 12, 36

24, 16, 12

16, 48, 24

24, 36, 12

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Explanation:

Solution:
Total work = 48 ,… A+B = 4 ….B+C = 3
now, 5A + 7B + 13C = 48
split it
5A +5B + 2B + 2C + 11C = 48
so 5*4 + 2*3 + 11c = 48
so 11c = 22 …… c = 2
so c alone = 48/2 = 24
A — 48/3 = 16
B— 48/1 =48