Question
V and N, working individually, can complete a task in (w
β 2) days and (w + 4) days, respectively. N initiated the task alone and was later joined by V after 10 days. Together, they completed the remaining work in the next 6 days. Determine the value of 'w.'Solution
ATQ, Let total work = {(w β 2)(w + 4)} units Efficiency of 'V' = {(w β 2)(w + 4)}/(w β 2) = (w + 4) units/day Efficiency of 'N' = {(w β 2)(w + 4)}/(w + 4) = (w β 2) units/day ATQ; 10 Γ (w β 2) + 6 Γ (w + 4 + w β 2) = (w + 4)(w β 2) Or, w2 = 20 w Or, w = 20
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