A small plane flying from Los Angeles to San Diego averaged 175 mph with a tailwind. On the return trip with headwind the average speed was

Question

A small plane flying from Los Angeles to San Diego averaged 175 mph with a tailwind. On the return trip with headwind the average speed was only 125 mph. Write and solve a system to reflect this relationship. Find the speed of the headwind/ tailwind AND the speed of the plane on a calm day.

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Adela 4 years 2021-08-02T05:39:19+00:00 1 Answers 16 views 0

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  1. mit
    0
    2021-08-02T05:41:01+00:00
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    Answer:  System of equations:

    p + w = 175

    p – w = 125

    p is the plane’s speed, w is the wind speed

    The wind speed is 25 mph.  The plane’s speed on a calm day is 150 mph.

    Step-by-step explanation:

    Solve by elimination: Add the equations. w “cancels” solve for p:

    p + w = 175

    p – w = 125

    2p  = 300   divide both sides by 2

    p = 150  the plane’s speed

    Substitute 150 for p and solve for w

    150 + w = 175   Subtract 150 from both sides.

    w = 25  the wind speed

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