Multiple choice

Abhay can complete a piece of work in 18 days, Balram in 20 days and Chandan in 30 days. Balram and Chandan started the work but were forced to leave after 2 days. How many days will Abhay take to complete the remaining work alone?

  1. 10 days

  2. 12 days

  3. 15 days

  4. 16 days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Balram and Chandan's combined rate = 1/20 + 1/30 = 5/60 = 1/12. In 2 days, they complete 2/12 = 1/6 of the work. Remaining work = 5/6. Abhay's rate = 1/18. Time for Abhay = (5/6) / (1/18) = 15 days.

AI explanation

Taking the total work as 180 units, which is the least common multiple of 18, 20 and 30, the daily work of Balram is 9 units and Chandan is 6 units. Working together for 2 days, they complete 30 units (15 multiplied by 2), leaving 150 units of remaining work. Abhay's daily capacity is 10 units, so he will complete the remaining 150 units in 15 days.

Keep practicing — related questions