Multiple choice

Akhilesh is two times as good a workman as Bansi and is able to finish a job in 39 days less than Bansi. Working together, they can do it in

  1. 13 days

  2. 24 days

  3. 26 days

  4. 12 days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Bansi take x days. Akhilesh takes x - 39 days. Efficiency ratio A:B = 2:1, so time ratio A:B = 1:2. Thus, x = 2(x - 39) => x = 2x - 78 => x = 78. Akhilesh takes 39 days, Bansi takes 78 days. Together: (39 * 78) / (39 + 78) = 3042 / 117 = 26 days.

AI explanation

Let Bansi take x days, so Akhilesh takes x/2 days, yielding the equation x - x/2 = 39, which means x = 78 days for Bansi and 39 days for Akhilesh. Their combined 1-day work is 1/78 + 1/39 = 3/78. Working together, they finish the job in 78 / 3, which equals 26 days.

Keep practicing — related questions