Multiple choice

Find the time taken by Sushma to complete a work. Statement I: Ranjana who is 40% more efficient than Sanjana. They both working together completes the work in 8 days. Statement II: Sushma working with Ranjana completes the whole work in 96/11 days. Statement III: Sushma is 20% less efficient than Sanjana.

  1. Any two

  2. II and III

  3. I and II

  4. I and III

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

Let R, S, Su be days for Ranjana, Sanjana, Sushma alone. I: R = S/1.4 and 1/R + 1/S = 1/8. From these, S = 32 days, R = 22.86 days. III: Su = S/0.8 = 40 days. II: 1/R + 1/Su = 11/96. Substituting: 1/22.86 + 1/40 ≈ 0.114 ≈ 11/96. I and III give us all values directly, which also satisfies II. So I and III are sufficient.

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