Multiple choice

Julie is two times as efficient in stacking crates as Abhijeet and while stacking crates together, they can complete the task in the same time as Rakesh and Amit. If Rakesh and Amit individually take 30 and 20 days, respectively, to complete the task, then how long would it take for just Julie to complete the same task?

  1. 18 days

  2. 32 days

  3. 36 days

  4. 42 days

  5. 46 days
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A Correct answer
Explanation

Rakesh and Amit together: (1/30 + 1/20) = 5/60 = 1/12. So they take 12 days. Julie is 2x efficient as Abhijeet. Let Abhijeet's rate be r, Julie's is 2r. 2r + r = 1/12 => 3r = 1/12 => r = 1/36. Julie's rate = 2r = 2/36 = 1/18. Julie takes 18 days.

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