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B lies between A and C, with AB = 80 km and BC = 100 km. A train leaves A for C at 8 a.m. at 40 km/h and halts at B for 20 minutes. Another leaves C for A at 9 a.m. at 60 km/h without stopping. How far from A do they meet?

Competition practiceProblems on Trains
  • A96 km
  • B88 km
  • C80 km
  • D92 km

Step-by-Step Solution

The first train is at B from 10:00 to 10:20. By 10:20 the second has run 80 km, so it is still 20 km short of B. They close that 20 km at 100 km/h in 12 min, during which the first train moves 8 km past B → 88 km from A. (80 km assumes they meet at B.)
Answer: B) 88 km

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