Multiple choice

Ankit is thrice as good a workman as Babu and is able to finish a job in 60 days less than Babu. If Ankit and Babu completes 2/3 part of the job and Ankit is replaced by Vivek, then the remaining job is done by Babu and Vivek in 10 days. If Ankit and Babu completes 3/4 part of the job and Babu is replaced by Rahul, the remaining job is done by Ankit and Rahul in 5 days. How long will it take for Ankit, Babu, Vivek and Rahul to complete the job if they work together?

  1. 10 days

  2. 15 days

  3. 8 days

  4. 12 days

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

Let Ankit's rate be 3x and Babu's rate be x. Since Ankit takes 60 days less, 1/x - 1/3x = 60, so 2/3x = 60, x = 1/90. Babu takes 90 days, Ankit takes 30 days. Solving the work equations for Vivek and Rahul leads to their individual rates. Calculating the combined rate of all four yields 1/12, meaning 12 days.

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