Question
'Ankit' can complete some work alone in 35 days. 'Amit'
is twice as efficient as 'Sumit' and four times as efficient as 'Ankit'. If 'Ankit' and 'Sumit' start working together, then after how many days should 'Amit' replace them so that the work gets completed in exactly 12 days?Solution
ATQ, Let the total work be 140 units. Efficiency of 'Ankit' = 140 Ă· 35 = 4 units/day Efficiency of 'Amit' = 4 X 4 = 16 units/day Efficiency of 'Sumit' = 16 Ă· 2 = 8 units/day Let the number of days for which 'Amit' worked alone be 'd'. So, (d X 16) + (12 - d) X (4 + 8) = 140 Or, 16d + 144 - 12d = 140 Or, 'd' = 2 So, 'Amit' worked alone for 2 days 'Amit' should've joined them after (12 - 2) = 10 days
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