Question

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A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance.What is the speed of the train?

gud luck :-P​

Answer 1

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Let the speed of the train be x km/hr. Then

Time taken to travel a distance of $480km$ = $\frac{480}{x}$ $hr$

Time taken by the train to travel a distance of $480km$ with the speed $\frac{(x−8)km}{hr}$ = $\frac{480}{x-8}$ $hr$

It is given that if the speed had been 8km/hr less, then the train would have taken 3 hours more to cover the same distance

Therefore, $\frac{480}{x-8}$ = $\frac{480}{x}$ + $3$

⇒p $\frac{480}{x-8}$ - $\frac{480}{x}$ = $3$

⇒ $\frac{480(x−x+8)}{x(x-8)}$ = $3$ ⇒ $\frac{480×8}{x(x-8)}$ = $3$

⇒ $3x(x−8) = 480×8$ ⇒ = $x(x−8)=160×8$ ⇒ = $x−8x−1280=0$