Question

A train travels 360 km at a uniform speed if the speed had been 5 kilometre per hour more it would have taken 1 hour less for the same journey then find the speed of the train

Answer 1

Let the speed of train be x km/hrDistance to be travelled  = 360kmWe know that, Time take by the train intially = If the speed was increased by 5km/hrTime taken by train = Difference in the time taken is 48 minutes,x2+5x -2250 = 0(x+50)(x-45)Speed = 45 km/hr as speed cannot be negative

Answer 2

Answer:

• The speed of the train is 40 km/h.

Given :

• A train travels 360 km at a uniform speed.

• The speed had been 5 kilometre per hour more it would have taken 1 hour less for the same journey.

To find :

• The speed of the train =?

Step-by-step explanation:

Let the speed of the train be x km/h. Then,

time taken to cover the distance of 360 km = 360/x hours.

If the speed of the train increased by 5 km/h. Then,

time taken to cover the same distance = (360/x+5) h.

According to the question,

360/x - 360/x+5 = 1

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

360x + 1800 – 360x = x² + 5x

x² + 5x – 1800 = 0

x² + 45x - 40x – 1800= 0

x(x + 45) – 40(x + 45) = 0

(x+ 45) (x – 40) = 0

x = -45 or x = 40

But the speed cannot be negative.

Hence, the speed of the train is 40 km/h.