A train takes 2½ hours less for a journey of 300 km, if its speed is increased by 20 km/h from its usual
speed. How much time

A train takes 2½ hours less for a journey of 300 km, if its speed is increased by 20 km/h from its usual
speed. How much time will it take to cover a distance of 192 km at its usual speed?

a) 6 hours
b) 4.8 hours
c) 3 hours
d) 2.4 hours​

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  1. Answer:

    4.8hours

    Step-by-step explanation:

    Let X be the usual speed

    300/x – 300/x+20=5/2

    Taking lcm to be x(x+20) then:

    X²+20x-2400(in the simplified form)

    The roots of the quadratic equation are:

    X=40 or x=-60(disqualified)

    So 40 is the usual speed.

    Time=distance/speed

    =192km/40km/hr

    =4.8hours

    =4.8 hours

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