A train travels 360 km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 4 hour less for the same journey. Form the quadratic equation to find the speed of the train.
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Normal speed of the train is 40 Km/hr
Step-by-step explanation:
Let the uniform speed of the train be x. Then higher speed of the train will be x+5.
Given:
360/x - 360/(x+5) = 1 as time = distance / speed
360(x+5) - 360x = x(x+5)
360x + 1800 - 360x = x² + 5x
x² + 5x - 1800 = 0
x² + 45x - 40x - 1800 = 0
x (x - 45) -40 (x - 45) = 0
(x - 45) (x - 40) = 0
So x can be +40 or 45.
So the normal speed of the train is 40 Km/hr and the increased speed of the train is 45 Km/hr.
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