Multiple choice

A is thrice as good a workman as B and takes 16 days less to complete a work than B. In how many days will B complete the same work?

  1. 18

  2. 24

  3. 25

  4. 36

  5. 47
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A is 3 times as fast as B. Ratio of speeds = 3:1. Ratio of time taken = 1:3. Let time for A = x, time for B = 3x. 3x - x = 16, so 2x = 16, x = 8. B takes 3x = 24 days.

AI explanation

Since A is thrice as good a workman as B, the ratio of their times taken is 1:3. Let the time taken by A be x days and by B be 3x days. The difference is 3x minus x equals 16, giving 2x equals 16, so x equals 8. Therefore, B takes 3 times 8 days, which is 24 days.

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