B and C together can complete a work in 8 days, A and B together can complete the same work in 12 days and A and C together can complete the same work in 16 days. In how many days can A, B and C together complete the same work ?
B and C together can complete a work in 8 days, A and B together can complete the same work in 12 days and A and C together can complete the same work in 16 days. In how many days can A, B and C together complete the same work ?
A$$3\frac{9}{13}$$
B$$7\frac{5}{13}$$
C$$7\frac{5}{12}$$
D$$3\frac{5}{12}$$
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Answer is : 7513
Explanation:
(B+C)’s 1 day’s work = 18...(i)
(A+B)’s 1 day’s work = 112...(ii)
(A+C)’s 1 day’s work = 116...(iii)
On adding all these three equations,
2 (A + B + C)’s 1 day’s work
=>18+112+116=6+4+348=1348
=>(A + B + C)’s 1 day’s work = 1396
∴ A, B and C together can complete the work in 9613=7513 days
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