Multiple choice

Passage

Find the value of Q1 and Q2 and state the correct relationship.

Quantity I: Time taken by A to complete 1/5th of work if B takes 6 days to complete 3/5th of work and together they take 5 days to complete 3/4th of work Quantity II: Time taken by a train to cross a platform of length 60 km given that it crosses a pole in two and a half hours running at 60 km/hr

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
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A Correct answer
Explanation

Quantity I: B does 3/5 work in 6 days, so B's rate = 1/10 per day. Together A+B do 3/4 work in 5 days, so combined rate = 3/20 per day. A's rate = 3/20 - 1/10 = 1/20. A does 1/5 work in 4 days. Quantity II: Train speed 60 km/hr, crosses pole in 2.5 hrs, so length = 60×2.5 = 150 km. To cross 60 km platform, time = (150+60)/60 = 3.5 hrs. 4 hours > 3.5 hours, so Quantity I is greater.

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