Question
Ravi, Mohit and Sohan can complete a work in 24 days, 48
days and x days respectively. They started the work together and after 4 days, Ravi left the work. If Mohit and Sohan together complete the remaining work in 4 days, then find the value of x.Solution
ATQ, Work done by Ravi, Mohit and Sohan in 1 day = 1/24 + 1/48 + 1/x Work done by Mohit and Sohan in 1 day = 1/48 + 1/x According to the question, (1/24 + 1/48 + 1/x) * 4 + (1/48 + 1/x) * 4 = 1 Dividing both sides by 4, 1/24 + 1/48 + 1/x + 1/48 + 1/x = 1/4 1/24 + 2/48 + 2/x = 1/4 1/24 + 1/24 + 2/x = 1/4 1/12 + 2/x = 1/4 2/x = 1/4 - 1/12 2/x = 2/12 2/x = 1/6 x = 12
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