Multiple choice

Amit and Bhanu takes same time to finish a work as that of Chirag. Bhanu takes 5 days less than Amit and 4 days more than that of Chirag. Amit and Bhanu working on alternate days will complete the whole work in how many days?

  1. 12

  2. 10

  3. 15

  4. 18

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

Let Amit's time = a days, Bhanu = b days, Chirag = c days. Given b = a - 5, b = c + 4, and a + b = 2c. Solving: a = 18, b = 13, c = 9. Total work = LCM(18,13,9) = 234. Amit's rate = 13/day, Bhanu's = 18/day. Alternate days starting with Amit: Day 1-2 = 31 units, repeating 7.5 times gives 248 units in 9 days.

Keep practicing — related questions