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A train travells a distance of …

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A train travells a distance of 300km at a constant speed , if the speed of the train is increased by 5 km in an hour , the journey would take 2 hours less . Find the actual speed of the train . ( I know how to do it but i got some mistakes so the answer ne wrong so please solve this i would find my mistake )

    • Posted by Dheeraj Chander 7 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Amol Khatri 7 years, 6 months ago

    Total distance=300km let speed=xkm/hr therefore time = d/s = 300/x hr---------------1 new speed=x+5 km/hr therefore time=d/s = 300/x+5 hr-------------2 given difference in times = 2 hrs therefore from 1 and 2 300/x - 300/x+5 = 2 300x+1500-300x/x(x+5) = 2 1500 = 2xsquare + 10x 2x square + 10x - 1500 = 0 x2 + 5x - 750 = 0 x2 + 30x - 25x -750 =0 x(x+30) - 25(x+30) (x+30)(x-25)=0 x+30=0  !     x-25=0     x= -30    !      x = 25  speed cannot be measured in negetive therefore original speed of train is 25 km/hr

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