Question
‘M’ and ‘N’ together can finish a piece of work
in 22 days. If ‘M’ alone can complete it in 55 days, how many days will ‘N’ alone take?Solution
Let the total work be LCM (22, 55) = 110 units.
Combined efficiency of ‘M’ and ‘N’ = 110 ÷ 22 = 5 units/day
Efficiency of ‘M’ = 110 ÷ 55 = 2 units/day
Efficiency of ‘N’ = 5 − 2 = 3 units/day
Time taken by ‘N’ alone = 110 ÷ 3 = (110/3) days
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