Multiple choice

Sheetal is thrice efficient than Alka. Alka takes 40 days more than Sheetal to complete the work. Find the time in which they can do it together?

  1. 60 days

  2. 30 days

  3. 45 days

  4. 15 days

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

Let Alka's efficiency be 1 unit/day, so Sheetal's efficiency is 3 units/day. If total work is W units, Alka takes W days and Sheetal takes W/3 days. Given Alka takes 40 days more: W - W/3 = 40, so 2W/3 = 40, giving W = 60. Alka takes 60 days, Sheetal takes 20 days. Combined rate is 4 units/day, so together they take 60/4 = 15 days.

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