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Thursday, January 30, 2020

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$$3\frac{5}{12}$$

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

Akilesh Kharvi
answered May 29 '2017 at 14:20

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