Question
A, B, and C together can do a piece of work in 14 days,
whereas C alone can do the same work in 42 days. How long will A and B together take to finish it?Solution
(A+B+C)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â C 14Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 42 Â Â Â Â Â Â Â 42 3Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1 Efficiency of A+B+C =3 Efficiency of C =1 Efficiency of (A+B) =A+B+C -C=3-1=2 A and B work both together =42/2 = 21 days.
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