Question

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 212212 h. Train B reaches station B after 4 h. Station A and B are 585 mi apart.

What is the rate of the trains?

Answer 1

90 mph

Explanation:

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Answer 2

90 mph

Explanation:

Let speed of both train=x mph

Time taken by train A to reach station A=
`2(1)/(2)` hr=\frac{5]{2} h[/tex]

Time taken by train B to reach station B=4 h

Distance between two trains=585 miles

We know that

Distance=
`speed* time`

Distance covered by train A=
`(5)/(2) x`

Distance covered by train B=
`4x`

When two trains travel in opposite direction then total distance

`(5)/(2)x+4x=585`

`(5x+8x)/(2)=585`

`(13)/(2)x=585`

`x=585* (2)/(13)=90 mph`

Hence, the rate of both trains=90 mph