'Ravi' can complete some work alone in 50 days. 'Arjun' is twice as efficient as 'Ramesh' and three times as efficient as 'Ravi'. If 'Ravi' and 'Ramesh' start working together, then after how many days should 'Arjun' replace them so that the work gets completed in exactly 20 days?
ATQ, Let the total work be 200 units. Efficiency of 'Ravi' = 200 ÷ 50 = 4 units/day Efficiency of 'Arjun' = 4 X 3 = 12 units/day Efficiency of 'Ramesh' = 12 ÷ 2 = 6 units/day Let the number of days for which 'Arjun' worked alone be 'd'. So, (d X 12) + (20 - d) X (4 + 6) = 200 Or, 12d + 200 - 10d = 200 Or, 'd' = 5 So, 'Arjun' worked alone for 5 days 'Arjun' should've joined them after (20 - 5) = 15 days
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