Question
Ravi can complete a task alone in 12 days. After a few
days, Mohan joins him and both complete the remaining 50% of the work in 3 days. How long will Mohan alone take to complete the entire work?Solution
ATQ, Let the efficiency of Ravi be 'x' units/day. So, total work = 12 × x = 12x units So, work done by Ravi and Mohan together = 12x × 0.5 = 6x units So, combined efficiency = 6x ÷ 3 = 2x units/day So, efficiency of Mohan = 2x - x = x units/day So, required time = 12x ÷ x = 12 days
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