Question

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​

Answer 1

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