A train travels 360 km at a uniform speed. If the speed had been 5 km / hr more, it would have taken 1 hour less for the same journey. Find the speed of the train.
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1
Answer:
the speed of the train
is 60 km/h
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Usual speed of train = 45 Km/hr
Step-by-step explanation:
Let the usual speed of train be x.
Given:
360/ (x + 5) = 360/x - 1 as time = distance / speed
360x = (x+5) (360-x)
360x = 360x - x² + 1800 - 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 +45 or -40.
Since speed is not negative, x = 45 Km/hr.
Usual speed of train = 45 Km/hr
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