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26 June, 10:14

A plane flew between two cities at 330 mph, a car went the same distance at 55 mph. If the car took 7.5 hours longer how far apart were the two cities

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  1. 26 June, 11:50
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    The cities are 495 miles apart.

    Step-by-step explanation:

    Let x represent the distance between the two cities.

    Let t represent the time taken by the plane to fly between the two cities.

    The plane flew between two cities at 330 mph.

    Distance = speed * time

    Distance covered by the plane would be

    330 * t = 330t

    A car went the same distance at 55 mph. If the car took 7.5 hours longer, means that the time spent by the car would be (t + 7.5) hours and distance travelled would be

    55 (t + 7.5) = 55t + 412.5

    Since the distance is the same, then

    330t = 55t + 412.5

    330t - 55t = 412.5

    275t = 412.5

    t = 412.5/275

    t = 1.5

    the distance between the two cities would be

    1.5 * 330 = 495 miles
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