Question

A train travels 360 km ata uniform speed.if the speed had been 5 km/h more it would have taken 1 hour less for the same jounery.Find the 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,

⇒x360−(x+5)360=1

⇒x(x+5)x+5−x=3601

⇒x2+5x=1800

⇒x2+5x−1800=0

⇒x2+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

Answer 2

given,

distance = 360 km

let the uniform speed = x km/h

A/Q

when the speed increases (x+5) km/h

thus the expression will be

360/x - 360/x+5 = 1

x+5-x/x(x+5) = 1/360

x^2+45x = 1800

x^2 + 45x - 1800 = 0

x^2 + 45x - 40x - 1800 = 0

x(x+45) - 40(x+45)=0

(x+45)(x-40)=0

•.• x= -45,40

but the speed cannot be in negitive so the value for x will be 40

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