Multiple choice

Gagan is thrice as good a worker as Dilip and takes 8 days less to do a piece of work than Dilip. In how many days can Dilip do the complete work?

  1. 4 days

  2. 24 days

  3. 12 days

  4. 18 days

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

Let Dilip take x days. Gagan takes x/3 days. Given x - x/3 = 8, we get 2x/3 = 8, so x = 12.

AI explanation

Since Gagan is thrice as good a worker as Dilip, Dilip takes three times as long to complete the work, so if Dilip takes D days, Gagan takes D/3 days. The problem states Gagan takes 8 days less than Dilip, giving the equation D minus D/3 equals 8. Solving 2D/3 = 8 yields D = 12, meaning Dilip can complete the work in 12 days.

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