a train travels 360km 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 original speed of the train
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Step-by-step explanation:
Consider the given question,
Distance =360 km
Speed =x km/hr
When speed is increase (x+5) km/hr
Given expression is written as,
⇒
x
360
−
(x+5)
360
=1
⇒
x(x+5)
x+5−x
=
360
1
⇒x
2
+5x=1800
⇒x
2
+5x−1800=0
⇒x
2
+45x−40x−1800=0
⇒x(x+45)−40(x+45)=0
⇒(x+45)(x−40)=0
⇒x=40,−45
But, speed can not be negative.
Hence, speed is 40 km/hr
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