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A train leaves Chennai at 6 a.m. for Madurai, 450 km away. It runs at 80 km/h in the first hour, and in each later hour its speed is 5 km/h less than in the hour before. When does it reach Madurai?

Competition practiceProblems on Trains
  • A12:45 p.m.
  • B12:54 p.m.
  • C1 p.m.
  • D12:30 p.m.

Step-by-Step Solution

Hourly runs: 80, 75, 70, 65, 60, 55 → 405 km by noon. In the 7th hour it runs at 50 km/h, so the last 45 km take 0.9 h = 54 min → 12:54 p.m.
Answer: B) 12:54 p.m.

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