Question
A, B, and C can finish a job in 12, 15, and 18 days,
respectively. They collaborate to complete the task and receive a combined payment of Rs. 592 for their efforts. Calculate the difference in the amount received by A and C together compared to what B receives alone.Solution
Let total amount of work be 180 units (LCM of 12, 15 and 18) Efficiency of A = 180/12 = 15 units per day Efficiency of B = 180/15 = 12 units per day Efficiency of C = 180/18 = 10 units per day Amount of money received by A and C together = 25/37 × 592 = Rs. 400 Amount received by B = 592 – 400 = Rs. 192 Desired difference = 400 – 192 = Rs. 208
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