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A train leaves L.A. at 2pm and heads north at 50mph. If the next train leaves the station 3 hours later and heads north at 60 mph, what time will the second train catch up with the first?

Respuesta :

mhanifa

Answer:

  • 8 AM

Step-by-step explanation:

  • Start time = 2 PM
  • Speed of the first train = 50 mph
  • Speed of the second train = 60 mph
  • Trains head same direction
  • The second train spends 3 hour less time than the first but both take same distance

Let the time in travel for the first train be x, then we have equation for distance:

  • 50x = 60(x - 3)
  • 50x = 60x - 180
  • 60x - 50x = 180
  • 10x = 180
  • x = 18 hours

Time when the second train caches up the first one:

  • 2 PM + 18 hours = 8 AM next day

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