Question 135

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but they are forced to leave after 3 days. The remaining work was done by A in

Solution

Let the total work be 72 units

Rate at which A finishes the work alone = $$\frac{72}{24}$$ = 3 units/day

Rate at which B finishes the work alone = $$\frac{72}{9}$$ = 8 units/day

Rate at which C finishes the work alone = $$\frac{72}{12}$$ = 6 units/day

Now, B & C work together for 3 days = (8 + 6) * 3 = 42 units

Work left = 72 - 42 = 30 units

Remaining work is done by A in = $$\frac{30}{3}$$ = 10 days

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