Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train A heading towards station A, and train B heading towards station B. Train A reaches station A after 2 1/2 h. Train B reaches station B after 4 h. Station A and B are 585 mi apart.

What is the rate of the trains?

Question

Mathematics

Sierra Cline

13 April, 08:24

Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train A heading towards station A, and train B heading towards station B. Train A reaches station A after 2 1/2 h. Train B reaches station B after 4 h. Station A and B are 585 mi apart.

What is the rate of the trains?

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Answers (1)

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Jacob Meadows · Answer 1

Speed = distance / time

since they are moving in opposite direction, the time is the sum of the two times = 2 1/2 + 4 = 6 1/2 = 13/2

speed = 585 / (13/2) = 90 miles per hour.