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28 May, 22:18

A motorcyclist travels 50 miles with an average speed of 40 mph and then another 20 miles with an average speed of 55 mph. What was the average speed of the cyclist over the entire 70 miles?

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  1. 29 May, 02:05
    0
    43.48 mph

    Explanation:

    We are given;

    First instance;

    Distance = 50 miles Speed = 40 mph

    Second instance;

    Distance = 20 miles Speed = 55 mph

    We are required to determine the average speed for the entire journey.

    Average speed = Total distance : total time We need to calculate time;

    Time = Distance : speed

    First instance

    Time = 50 miles : 40 mph

    = 1.25 hours

    Second instance;

    Time = 20 miles : 55 mph

    = 0.36 hours

    Therefore;

    Total distance = 70 miles

    Total time = 1.25 hrs + 0.36 hr

    = 1.61 hrs

    Thus;

    Average speed = 70 miles : 1.61 hrs

    = 43.478 miles per hour

    = 43.48 mph
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