Question
Tarun and Saurabh together can complete a task in 10
days. Tarun and Reena together can finish the same task in 14 days. Reena and Saurabh together can complete it in 35(35/3) days. Determine the difference between the number of days Tarun alone and Saurabh alone would take to complete the task individually.Solution
ATQ,
Let the total work be 70 units (LCM of 14, 10 and 35) Efficiency of 'Tarun' and 'Saurabh' = (70/10) = 7 units/day Efficiency of 'Tarun' and 'Reena' = (70/14) = 5 units/day Efficiency of 'Reena' and 'Saurabh' = {70 ÷ (35/3) } = 6 units/day Efficiency of 'Tarun', 'Reena' and 'Saurabh' = (7 + 5 + 6) ÷ 2 = 9 units/day Efficiency of 'Tarun' = 9 - 6 = 3 units/day Efficiency of 'Saurabh' = 9 - 5 = 4 units/day Therefore, required time = (70/3) - (70/4) = (35/6) days
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