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12 April, 11:52

17 A tourist was planning a trip by car for travelling at some constant speed for 2.5 hours. However, he found that if he increases the speed by 20 km/h he can cover the same distance in 30 minutes less time than it was planned. What was the planned speed of the tourist, in km/h?

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  1. 12 April, 13:27
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    Amount of time=2.5 hours

    Amount of time after speed increase=2 hours

    Let x=the initial speed

    Let t=the amount of hours

    Let y=the new speed

    Let z=distance

    Therefore XT=z

    YT=z

    Plugging everything in,

    X (2.5) = z

    Y (2) = z

    Using substitution

    Y=20+x

    2.5x=z

    (20+x) (2) = z

    40+2x

    .5x=40

    X=80

    Y=x+20

    Y=100
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