Question
'Andy' and 'Ben' together can finish some work in 27
days. If 'Andy' alone can finish it in 45 days, then find the time taken by 'Ben' to finish the work alone.Solution
Let the total work be 135 units. {LCM (27 and 45)} So, combined efficiency of 'Andy' and 'Ben' = 135 ÷ 27 = 5 units/day Efficiency of 'Andy' = 135 ÷ 45 = 3 units/day So, efficiency of 'Ben' = 5 - 3 = 2 units/day So, time taken by 'Ben' to do the work alone = 135 ÷ 2 = (135/2) days
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