What is the best solution for the question of quadratic equation , I think it is very important question of board exam A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

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# A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train. Q.8

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Let us say, the speed of the train beÂ

xÂ km/hr.Time taken to cover 360 km = 360/

xÂ hr.As per the question given,

â‡’ (

xÂ + 5)(360-1/x) = 360â‡’ 360 â€“Â

xÂ + 1800-5/xÂ = 360â‡’Â

x^{2Â }+Â 5xÂ + 10xÂ â€“ 1800 = 0â‡’Â

x(xÂ + 45) -40(xÂ + 45) = 0â‡’ (

xÂ + 45)(xÂ â€“ 40) = 0â‡’Â

xÂ = 40, -45As we know, the value of speed cannot be negative.

Therefore, the speed of train is 40 km/h.