Multiple choice

Veer is 40% less efficient than Bhavya and both complete the work together in 30 days, if Abhishek takes 10 days less as Veer and Bhavya takes together. Then find how many days will be required to complete the work, if all three work together?

  1. (a) 16 days

  2. (b) 12 days

  3. (c) 10 days

  4. (d) 8 days

  5. (e) 18 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Bhavya's efficiency be B. Veer's efficiency is 0.6B. Together they complete work in 30 days, so total work is 30 * 1.6B = 48B. Veer takes 48B / 0.6B = 80 days. Bhavya takes 48B / B = 48 days. Abhishek takes 48 - 10 = 38 days. The calculation for all three working together results in 12 days.

AI explanation

Let the efficiency of Bhavya be 5 units per day; since Veer is 40 percent less efficient, Veer's efficiency is 3 units per day. Their combined efficiency is 8 units per day, and completing the work in 30 days means the total work is 240 units. Abhishek takes 10 days less than 30 days, so he takes 20 days, making his daily efficiency 12 units. When all three work together, their total efficiency is 5 plus 3 plus 12, which equals 20 units per day, so they complete the 240 units in 12 days.

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