Multiple choice

If 3 men working 6 hours a day take twice the time taken by p men working 4 hours a day to complete the same work, find the value of p.

  1. 6

  2. 9

  3. 10

  4. 12

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

Work = Men * Hours * Days. 3 men * 6 hours * T1 = W. p men * 4 hours * T2 = W. Given T1 = 2 * T2. So 18 * T1 = 4p * T2 => 18 * (2 * T2) = 4p * T2 => 36 = 4p => p = 9.

AI explanation

Using the formula M1 * D1 * H1 = M2 * D2 * H2, the total man-hours for the work must remain constant. The work done by 3 men working 6 hours a day equals 18 man-hours per day. Since they take twice the time taken by p men working 4 hours a day, let the time taken by p men be D days, making the time for the 3 men 2D days. Equating the total man-hours gives 3 * 6 * 2D = p * 4 * D, which simplifies to 36D = 4pD. Solving for p gives a value of 9.

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