Question
‘P’ alone can do 60% of a work in 18 days and
‘Q’ alone can do 30% of the same work in 9 days. ‘P’, ‘Q’ and ‘R’ together can finish the work in 10 days. The efficiency of ‘Q’ is what percent of the efficiency of ‘R’?Solution
ATQ, ‘P’ alone can do the complete work in (18/60) × 100 = 30 days ‘Q’ alone can do the complete work in (9/30) × 100 = 30 days Let total work = 300 units P’s efficiency = 300/30 = 10 units per day Q’s efficiency = 300/30 = 10 units per day P, Q and R’s efficiency = 300/10 = 30 units per day R’s efficiency = 30 – 10 – 10 = 10 units per day Required percentage = (10/10) × 100 = 100%
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