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28 December, 15:15

The time, t, required to drive a fixed distance varies inversely as the speed, r. It takes 9 hr at a speed of 20 km/h to drive a fixed distance. How long will it take to drive the same distance at a speed of 23 km/h?

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  1. 28 December, 18:41
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    Time=7.84hrs

    Explanation:

    This is an inverse proportionality questions

    Mathematically time t varies as 1/distance d

    Hence T = dk/r

    But speed r = distance/t

    d = r*t = 9*20=180km/hr

    We're k = constant of proportionality

    At t=9hrs d=180km/hr

    Hence k=r*t/d=20*9/1620=0.111

    Finding t at at 1620km for 23km/hr

    t=1620*0.111/23=7.84hrs
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