Site navigation

Sahil can complete a job in 20 days when working alone. Manoj is twice as fast as Sahil and three times as fast as Ashish in the same job. The collaborative work arrangement involves Sahil and Manoj…

Question and options

Sahil can complete a job in 20 days when working alone. Manoj is twice as fast as Sahil and three times as fast as Ashish in the same job. The collaborative work arrangement involves Sahil and Manoj working on the first day, Sahil and Ashish on the second day, and Manoj and Ashish on the third day. This three-day cycle continues till the work is complete.

What fraction of the total work will then be done by Ashish till the job is completed?
  1. 740\frac{7}{40}
  2. 641\frac{6}{41}
  3. 745\frac{7}{45}
  4. 649\frac{6}{49}

Answer and explanation

Correct answer: A - \(\frac{7}{40}\)
Rates per day in units of 1/60 of the work: Sahil 3, Manoj 6, Ashish 2. Days S+M = 9, S+A = 5, M+A = 8, so a cycle does 22. Two cycles = 44 (Ashish 8); day 7 S+M -> 53; day 8 S+A -> 58 (Ashish +2); day 9 M+A needs 2 of 8, i.e. 1/4 day (Ashish +0.5). Ashish's total = 10.5/60 = 7/40.

Practice for these exams

  • IIM Bangalore BBA DBE Entrance Test

Related question papers

Related exam syllabi

More solved explanations in Arithmetic