Question
36 painters can paint a building in 45 days. If 18
painters started the work and after 30 days βvβ more painters joined them such that the remaining work got completed in 15 days, then find the value of βvβ.Solution
Total work = 36 Γ 45 = 1620 units Work completed by 18 painters in 30 days = 18 Γ 30 = 540 units Remaining work = 1620 β 540 = 1080 units Let the number of painters added be βvβ. Therefore, (18 + v) Γ 15 = 1080 270 + 15v = 1080 15v = 810 v = 54 Number of painters added = 54
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