plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take t

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plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.

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Amity 4 years 2021-08-23T02:37:52+00:00 1 Answers 11 views 0

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  1. mocmien2
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    2021-08-23T02:39:11+00:00
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    Answer:

    A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

    Speed = distance / time

    Distance = speed × time

    Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

    4 × 63 = 252 kilometers.

    if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

    Time = distance / speed

    = 252/56 = 4.5 hours

    The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

    Let speed = s and let time = t

    s varies inversely with t

    Introducing constant of inverse variation k, it becomes

    s = k/t

    When s = 56, t = 4.5

    56 = k/4.5

    k = 4.5 × 56 =252

    This is the distance

    Step-by-step explanation:

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