Question

A train traveling at a uniform speed for 350 km, would have taken 1 hour 10 min less to travel the same distance if speed was increased by 10 km/hr. Then find its original speed. ​

Answer 1

Answer:

x=45

Step-by-step explanation:

Let x= Original Speed

we know that

distance= time

speed

So as per the question the following equation can be formed

360− 360= 48

x x+5 60 [1 hour = 60 minutes]

⇒ 1 - 1 = 48 . 1

x x+5 60 360

⇒ 5 = 1

x^2 + 5x 450

⇒x^2+5x−2250=0

⇒x^2−45x+50x−2250=0

⇒x(x−45)+50(x−45)=0

⇒(x−45)(x+50)=0

x=45,−50

As the speed can't be negative so,

x=45