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. Form the Quadratic Equation to Find the Speed of the Train.
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Given distance=360 km.
Let the speed of the train be x km/hr.
Speed when increased by 5 km/hr =(x+5) km/hr
x
360
−
(x+5)
360
=1
x(x+5)
[360x+1800−360x]
=1
x
2
+5x−1800=0
x
2
+45x−40x−1800=0
x(x+45)−40(x+45)=0
(x−40)(x+45)=0
x=40,−45
The speed of the train is 40 km/hr.
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40km/hr
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