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7 October, 07:24

An airliner can travel 750 miles in the same amount of time that it takes a private plane to travel 300 miles. The speed of the airliner is 60 mph more than twice the speed of the private plane. What is the speed of the airliner?

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  1. 7 October, 07:36
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    120mph.

    Step-by-step explanation:

    let s = the speed of the private plane

    then

    (2s+60) = the speed of the commercial airliner

    :

    Write a time equation; time = dist/speed

    300%2Fs = 750%2F%28%282s%2B60%29%29

    cross multiply

    750s = 300 (2s+60)

    750s = 600s + 18000

    750s - 600s = 18000

    150s = 18000

    s = 18000/150

    s = 120 mph is the speed of the private plane

    then

    2 (120) + 60 = 300 mph is speed of the commercial airliner

    :

    :

    Check this find the actual time for each

    300/120 = 2.5 hrs

    750/300 = 2.5 hrs, confirms our solutions

    Find the speed of each aircraft

    The ratio of the distances flown is 750:300 = 5:2. Since the times are the same, the ratio of the speeds is 5:2. So let the two speeds be 5x and 2x.

    The speed of the airliner in mph is 60 more than twice the speed of the private plane:

    5x+=+2%282x%29%2B60

    5x+=+4x%2B60

    x+=+60

    The speeds of the two aircraft are 5x = 300mph and 2x = 120mph.
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