Question

If A can do a piece of work
in 4 hours. B andC together 3 hours andA andC  together in 2 hours, thenB alone take to do it isIf can do a piece of work in hours. and together hours and and together in hours, then alone take to do it is​

Answer 1

Answer:

12 hours

A’s one hour’s work = \frac{1}{4}

(B + C)’s one hour’s work = \frac{1}{3}

(A + C)’s one hour’s work = \frac{1}{2}

∴ C’s one hour’s work = \frac{1}{2}-\frac{1}{4} = \frac{2-1}{4} = \frac{1}{4}

B’s one hour’s work = \frac{1}{3}-\frac{1}{4} = \frac{4-3}{12} = \frac{1}{12}

Hence B alone can do the work in 12 hours, so option [D] is correct answer

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