Question

A train travelling at a uniform speed for 360 km would have taken 48 minutes less to travel the same distance if its speed where 5 km per hour more. Find the original speed of train a

Answer 1

Hope it will help...

Answer 2

Answer:

Step-by-step explanation:

Solution :-

Let the original speed of the train be x km/h

Time taken at original speed = 360/x km/h

Time taken at increased speed = 360/x + 5 km/h

According to the Question,

⇒ 360/x - 360/x + 5 = 48/60

⇒ 360(1/x - 1/x + 5) = 4/5

⇒ x² + 5x - 2250 = 0

⇒ x² - 45x + 50x - 2250 = 0

⇒ x(x - 45) + 50(x - 45) = 0

⇒ (x - 45)(x + 50) = 0

⇒ x = 45 , - 50 (Speed cannot be negative)

⇒ x = 45 km/h

Hence, The original speed of train is 45 km/h.