Question

a train travel 360kmat a uniform speed if the speed had been 5 kilometre per hour more it would have to the one had less for the same journey find the speed of the train ​

Answer 1

Consider the given question,

Distance = 360 km

Speed = x km/hr

When speed is increase (x+5) km/hr

Given expression is written as,

⇒ $\frac{360}{x}$ — $\frac{360}{( x + 5 )}$ = 1

⇒ $\frac{x + 5 — x}{x( x + 5 )}$ = $\frac{1}{360}$

⇒ 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 40km/hr .