Multiple choice

30 men can produce 1500 units in 24 days working 6 hours a day. In how many days, can 18 men produce 1800 units working 8 hours a day?

  1. 18 days

  2. 32 days

  3. 36 days

  4. 45 days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using the work formula (M1 * D1 * H1) / W1 = (M2 * D2 * H2) / W2, we can substitute the given values: (30 * 24 * 6) / 1500 = (18 * D2 * 8) / 1800. Simplifying this equation gives 2.88 = 0.08 * D2, which yields D2 = 36 days.

AI explanation

Using the formula (M1 times D1 times T1) divided by W1 equals (M2 times D2 times T2) divided by W2, we have (30 times 24 times 6) divided by 1500 equals (18 times D2 times 8) divided by 1800. Solving the equation 4320 divided by 1500 equals 144 times D2 divided by 1800 gives D2 equals 36 days.

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