Multiple choice

Usually, when Ajay and Vinod each work for 8 hours a day, they take 10 days to complete a job, working together. When Ajay works at 75% of his efficiency and Vinod works at 125% of his efficiency, they take 9 days to complete the same job, working together. What will be the time taken by them to complete the job if Ajay works at 125% of his efficiency and Vinod works at 75% of his efficiency?

  1. 12 days

  2. 12.75 days

  3. 11.25 days

  4. 11 days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A and V be the efficiencies. (A+V)*8*10 = Work. (0.75A + 1.25V)*8*9 = Work. Solving these gives A = V. Then (1.25A + 0.75A)*8*T = Work. T = 80/1.6 = 11.25 days.

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