A can do a piece of work in 12 days, B in 18 days. They work together for 6 days. The remaining work was finished by C in 4 days. If C received Rs. 45 for the part of the work he did, find how much B received for the work done by him.
Explanation:
Let the total work to be done = LCM(12, 18) = 36 units.
∴ A’s 1 day work = 36/12 = 3 units/day ∴ B’s 1 day work = 36/18 = 2 units/day
In 6 days,
Word done by A = 3 × 6 = 18 units, and Word done by B = 2 × 6 = 12 units
∴ C completed the remaining work = 36 – 18 – 12 = 6 units.
For 6 units of work done by C, payment = Rs. 45.
∴ For 12 units of work done by B, payment = 45 × 2 = Rs. 90.
Hence, option (d).
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