Question
Amit is 66(2/3)% more efficient than Vivek who can do
the same work in 25% more time than Sameer. If Amit and Sameer together can complete 70% of work in 15 days, then in how many days 90% of work can be completed by Vivek and Sameer together.Solution
Ratio of efficiency of Amit and Vivek = 5:3 Ratio of time taken by Vivek and Sameer alone to complete the work = 5:4 Ratio of efficiency of Vivek and Sameer = 4:5 ⇒ Ratio of efficiency of Amit, Vivek and Sameer = 20: 12: 15 Total unit of work = (15/70) × 100 × 35(20 + 15) = 750 units Required time = (750/27) × (90/100) = 25 days
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