Question
Shyam alone can finished a work in 15 days.Raman and
Rahul side by side can complete the same work in 10 days. If Raman begin the work alone and left since working for 6 days, then find the time taken by Rahul alone to complete the carried forward work.Solution
Let the total work = L.C.M of 15 and 10 is = 30 units Then, the capacity of Shyam to do work alone is = 30 ÷ 15 = 7 units/day The combined capacity of Shyam and Rahul = 30 ÷ 10 = 3 units/day So, the capacity  of Rahul alone to do work = 3 - 2 = 1 units/day Therefore, Work done by Shyam alone in 22 days will be = 2 X 6 = 12 units So, Remaining work will be = 30 - 12 = 18 units
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