Multiple choice

If $34$ men completed $\dfrac{2}{5}$th of a work in $8$ days working $9$ hours a day. How many more man should be engaged to finish the rest of the work in $6$ days working $9$ hours a day?

  1. $68$ men
  2. $45$ men
  3. $34$ men
  4. $28$  men

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

M1*D1*H1 / W1 = M2*D2*H2 / W2. (34 * 8 * 9) / (2/5) = (M2 * 6 * 9) / (3/5). (34 * 8) / 2 = (M2 * 6) / 3. 34 * 4 = M2 * 2. M2 = 68. Additional men = 68 - 34 = 34.

AI explanation

Using the work formula M1 x D1 x H1 / W1 = M2 x D2 x H2 / W2, we relate the initial team to the required team for the remaining work. The equation is (34 x 8 x 9) / (2/5) = (M2 x 6 x 9) / (3/5). Solving this gives M2 = 68 total men required to finish the remaining work in 6 days. Since 68 total men are needed and 34 men are already working, 34 more men must be engaged.

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