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Trains leave Lucknow for Varanasi every hour on the hour, and trains leave Varanasi for Lucknow every hour on the hour. Every journey takes exactly 5 hours. How many Varanasi-bound trains does a Lucknow-bound train meet on the way, not counting any met at the stations?

Competition practiceProblems on Trains
  • A9
  • B5
  • C10
  • D11

Step-by-Step Solution

A train leaving Varanasi at time 0 is on the line from 0 to 5. Opposite trains on the line during (0, 5) left Lucknow at −4, −3, …, 4 → 9 trains. (Those leaving at −5 and 5 are met only at the stations.)
Answer: A) 9

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