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17 August, 18:12

An airplane cruises at 850 km/h relative to the air. It is flying from Denver, Colorado, due west to Reno, Nevada, a distance of 1200 km, and will then return. There is a steady 90km/h wind blowing to the east.

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  1. 17 August, 18:50
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    difference in flight time = 0.3023 hour

    Explanation:

    The question is incomplete, but I found it in your textbook.

    Spped of aircraft = 850 km/h

    Opposing speed of wind = 90km/h

    Hence, the net speed when it's travelling west = 850 - 90 = 760 km/hr

    The distance covered = 1200km

    time taken = distance / time = 1200 / 760 = 1.5789 hours

    When coming back, the speed of the wind is complementary to the speed of the aircraft so

    net speed when it's coming back = 850 + 90 = 940 km/hr

    time taken in this instance = 1200 / 940 = 1.2765 hours

    Hence, the difference in flight time = 1.5789 - 1.2765 = 0.3023 hour
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