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12 August, 11:25

Two planes just took off from Salt Lake City, UT. The first plane is traveling 3 times as fast as the second plane. After traveling in the same direction for 7.5 hours, they are 1575 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)

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  1. 12 August, 14:45
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    The average speed of the first plane is 315 mph and that of the second plane is 105 mph.

    Step-by-step explanation:

    Let us assume that the first plane has speed x mph and that of the second plane is y mph.

    So, as per given condition x = 3y ... (1)

    Now, given that after traveling in the same direction for 7.5 hours, they are 1575 miles apart.

    So, we write the equation as

    7.5x - 7.5y = 1575

    ⇒ x - y = 210 ... (2)

    Now, solving equation (1) and (2) we get, 3y - y = 210

    ⇒ 2y = 210

    ⇒ y = 105 mph

    So, from equation (1) we get, x = 3y = 315 mph.

    So, the average speed of the first plane is 315 mph and that of the second plane is 105 mph. (Answer)
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