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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Answer:
40kmph
Step-by-step explanation:
let the speed of train be x and t be the time for travel
distance =360
speed = distance / time
x= 360/t
t= 360/x
if speed is x + 5 the time becomes t-1
x + 5 = 360/( t-1)
but t = 360/ x
x + 5 = 360 ((360/x)-1)
(x + 5) (360-x)/x =360
(x+5)(360-x)= 360x
360x - x^2 + 1800 -5x = 360x
x^2 + 5x -1800 = 0
solving the equation
x=40kmph
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