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Two trains leave a train station traveling in the same direction at the same time. Train A moves at 41.1 mph, and Train B moves at 26.5 mph. How long will it take Train A to be 39.1 miles ahead of Train B?

Answer :

The time taken for Train A to be 39.1 miles ahead of Train B is 2.7 hours

How to determine the relative speed

  • Speed of Train A = 41.1 mph
  • Speed of Train B = 26.5 mph
  • Relative speed =?

Relative speed = 41.1 - 26.5

Relative speed = 14.6 mph

How to determine the time to be 39.1 miles apart

  • Relative speed = 14.6 mph
  • Distance = 39.1 miles
  • Time =?

Relative speed = distance / time

14.6 = 39.1 / time

Cross multiply

14.6 × time = 39.1

Divide both side by 14.6

Time = 39.1 / 14.6

Time = 2.7 hours

Thus, it will take train A 2.7 hours to be 39.1 miles ahead of Train B

Learn more about speed:

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