A person on a road trip drives a car at different constant speeds over several legs of the trip. She drives for 10.0 min at 50.0 km/h, 19.0

Question

A person on a road trip drives a car at different constant speeds over several legs of the trip. She drives for 10.0 min at 50.0 km/h, 19.0 min at 100.0 km/h, and 60.0 min at 55.0 km/h and spends 40.0 min eating lunch and buying gas. What is the average speed for the entire trip (

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Diễm Thu 3 years 2021-08-24T22:46:33+00:00 1 Answers 11 views 0

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  1. Nem
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    2021-08-24T22:48:31+00:00
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    The average speed for the entire trip is 47.5 m/s .

    It is given that for different time span car have different speed and also the person spend 40\ min=\dfrac{40}{60}\ hrs =0.67\ hrs\ . in eating lunch and buying gas.

    We know , average speed is total distance covered by total time taken .

    Therefore , average speed , v=\dfrac{total\ distance }{total\ times}

    v=\dfrac{\dfrac{10}{60}\times 50+\dfrac{19}{60}\times 100+\dfrac{60}{60}\times 55}{\dfrac{10}{60}+\dfrac{10}{60}+\dfrac{60}{60}+ \dfrac{40}{60}}\\\\\\v=47.5\ m/s

    Hence, this is the required solution.

    Learn More :

    Average speed

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