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Kanpur and Prayagraj are 200 km apart. Train 1 leaves Kanpur at 7 a.m. at 40 km/h; train 2 leaves Prayagraj at 8 a.m. at 60 km/h. Train 3 leaves Kanpur at 8 a.m. and meets train 2 at the same spot where train 1 does. What is train 3's speed?

Competition practiceProblems on Trains
  • A60 km/h
  • B52 km/h
  • C70 km/h
  • D65 km/h

Step-by-Step Solution

By 8 a.m. train 1 is 40 km out; the remaining 160 km closes at 100 km/h in 1.6 h → 9:36, at km from Kanpur. Train 3 covers 104 km in 1.6 h → 65 km/h.
Answer: D) 65 km/h

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