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24 May, 01:50

2 trains leave the station at the same time. Train A is traveling 16 miles slower than train B. The two trains are 720 miles apart after 4 hours. What is the rate of speed for train A

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  1. 24 May, 02:17
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    Answer: the rate of speed for train A is 66 miles per hour.

    Step-by-step explanation:

    Let x represent the speed of train B.

    2 trains leave the station at the same time. Train A is traveling 16 miles per hour slower than train B. This means that the speed of train A would be x - 16 miles per hour.

    The two trains are 720 miles apart after 4 hours. It means that both trains traveled a total distance of 720 miles in 4 hours.

    Distance = speed * time

    Distance travelled by train A after 4 hours is

    4 (x - 16) = 4x - 64

    Distance travelled by train B after 4 hours is

    4 * x = 4x

    Since the total distance travelled by both trains is 720 miles, then

    4x - 64 + 4x = 720

    8x = 720 - 64 = 656

    x = 656/8 = 82 miles per hour

    The speed of train A would be

    82 - 16 = 66 miles per hour.
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