If a certain trip takes 40 minutes when you travel 50 miles per hour, how many minutes would it take if you travel 40 miles per hour?

Question

If a certain trip takes 40 minutes when you travel 50 miles per hour, how many minutes would it take if you travel 40 miles per hour?

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Eden 2 weeks 2021-09-10T11:21:52+00:00 2 Answers 0

Answers ( )

    0
    2021-09-10T11:23:07+00:00

    Answer:

    It would take 50 minutes

    Step-by-step explanation:

    Distance, velocity and time

    The speed is the rate at which the distance changes with respect to time. If x is the distance, t is the time, the speed v can be obtained by

    \displaystyle v=\frac{x}{t}

    We know the trip takes 40 minutes when traveling at 50 miles/hour. The distance can be determined by isolating x in the above equation

    x=vt

    The given time is expressed in minutes, we need to convert it to hours. 40 minutes is \frac{40}{60}=0.6666...\ hours. The distance is

    \displaystyle x=(50)(0.666..)=33.33\ miles

    If the speed was 40 miles/hour, the same distance would be covered in t hours, taken from the above equation as

    \displaystyle t=\frac{x}{v}

    t=\frac{33.33}{40}=0.8333\ hours = 0.83333*60= 50\ minutes

    0
    2021-09-10T11:23:08+00:00

    Correct Answer:

    50 Minutes

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