Question
Raushan can complete the wall putty work in 6 days and
Satyam can complete it in 12 days. While working together with Raghu, they completed the job in 2 days only. In how many days Raghu alone can complete the job?Solution
Work done by Raushan in 1 day = 1/6 Work done by Satyam in 1 day = 1/12 Let the work done by Raghu be x. Work done by Raghu in 1 day = 1/x Work done by all of them together is, (1/6) + (1/12) + (1/x) = 1/2 (1/x) = (1/2) - (1/6) - (1/12) => [(6 - 2 - 1)/12] = 3/12 = 1/4 ∴ Raghu completes the work in 4 days.
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