Multiple choice

P is thrice as good a workman as Q and together they finish a piece of work in 24 days. The number of days taken by P alone to finish the work is:

  1. 25 days

  2. 22 days

  3. 32 days

  4. 34 days

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

Efficiency P = 3 * Efficiency Q. Combined efficiency = 4 units. Work = 4 * 24 = 96 units. Time for P = 96 / 3 = 32 days.

AI explanation

Let the total work be the product of their combined efficiency and time, meaning 1 divided by 24 work per day. Since P is thrice as good as Q, their efficiency ratio is 3:1, meaning P completes 3 divided by 4 of the daily work. P alone takes 4 divided by 3 multiplied by 24 days to finish the job, resulting in 32 days.

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