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  1. #1
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    word problem

    A jet flies twice as fast as a propeller plane. On a trip 1500 miles, the propeller plane took 3 hours longer than the jet. Find the speed of each plane.
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  2. #2
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    Quote Originally Posted by Hapa View Post
    A jet flies twice as fast as a propeller plane. On a trip 1500 miles, the propeller plane took 3 hours longer than the jet. Find the speed of each plane.
    If the propeller plane is twice as slow and it took 3 hours longer then it must've taken 6 hours, whilst the jet took 3.
    1500/3 = 500 mph for the jet
    1500/6 = 250 mph for the propeller plane
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  3. #3
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    Quote Originally Posted by Hapa View Post
    A jet flies twice as fast as a propeller plane. On a trip 1500 miles, the propeller plane took 3 hours longer than the jet. Find the speed of each plane.
    Hi Hapa,

    Recall that 'Distance = Rate X Time'

    d = rt

    t =d/r

    Let p = rate of prop plane

    Let 2p = rate of jet plane

    Let \frac{1500}{p}= time for the prop plane

    Let \frac{1500}{2p} = time for the jet plane

    The distance is constant, and since the prop plane is 3 hours behind the jet plane, the two times wll equate this way:

    \frac{1500}{p}=\frac{1500}{2p}+3

    Multiply through by 2p

    3000 = 1500 +6p

    6p = 1500

    p = 250 mph for the prop plane

    The jet travels 500 mph
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