Question
Working alone, 'C' can complete a job in 30 days. 'D'
takes 20% less time than 'C' to finish the same job. Calculate the percentage of work done by 'C' and 'D' together in 4 days.Solution
ATQ, Time taken by 'D' alone: 0.8×30=24 days Total work: LCM of 24 and 30 = 120 units Efficiency of 'C': 120/30=4 units/day Efficiency of 'D': 120/24=5 units/day Combined efficiency of 'C' and 'D': 4+5=9 units/day Work done in 4 days: 9×4=36 units Percentage of total work done: (36/120)×100=30 Therefore, 'C' and 'D' together complete 30% of the work in 4 days.
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