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14 November, 01:55

A light aircraft travels 5 miles per hour less than twice the speed of a bus. If the bus can travel 114 miles in the same time it takes the aircraft to travel 218 miles, then what is the average speed of each?

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  1. 14 November, 04:51
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    A represents the speed of the aircraft.

    b represents the speed of the bus.

    a=2b-5

    114/b=218/a

    Substitution method

    114/b=218 / (2b-5)

    (2b-5) * (114/b) = 218

    (228b-570) / b = 218

    228b-570 = 218b

    228b-218b=570

    10b = 570

    b=57

    Plug the value of b into one of the original equations.

    a=2 (57) - 5

    a=114-5

    a=109

    Final answer:

    Average speed of plane = 109

    Average speed of bus = 57
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