Solution: How fast in kph is the distance between the two trains changing at 4:00 PM?

Two railroad tracks are perpendicular to each other. At 12:00 PM there is a train at each track approaching the crossing at 50 kph, one being 100 km and the other 150 km away from the crossing. How fast in kph is the distance between the two trains changing at 4:00 PM?

How fast in kph is the distance between the two trains changing at 4:00 PM?

Problem Statement: CE Board May 1996

Two railroad tracks are perpendicular to each other. At 12:00 PM there is a train at each track approaching the crossing at 50 kph, one being 100 km and the other 150 km away from the crossing. How fast in kph is the distance between the two trains changing at 4:00 PM?
  • A. 67.08 kph
  • B. 68.08 kph
  • C. 69.08 kph
  • D. 70.08 kph

Problem Answer:

The distance between the two trains changing at the rate of 67.08 kph

Solution:

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