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40 men can complete a work in 48 days. 64 men started and did the same work for \(x\) days. After \(x\) days, 32 more men joined, and the remaining work was completed in \(16\frac{2}{3}\) days, then…

Question and options

40 men can complete a work in 48 days. 64 men started and did the same work for xx days. After xx days, 32 more men joined, and the remaining work was completed in 162316\frac{2}{3} days, then the value of xx is
  1. 5
  2. 8
  3. 10
  4. 6

Answer and explanation

Correct answer: A - 5
Work = 40*48 = 1920 man-days. 64x + 96*(50/3) = 64x + 1600 = 1920 -> x = 5.

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