Question

If the usual uniform speed of a train is
increased by 5 km/h, it takes 48 minutes
less than the usual time to cover á distance
of 360 km. Find the usual uniform speed of
the train.​

Answer 1

Answer:

here is your ans

Step-by-step explanation:

ANSWER

Let x= Original Speed

we know that

speed

distance

=time

So as per the question the following equation can be formed

x

360

−

x+5

360

=

60

48

[1 hour = 60 minutes]

⇒

x

1

−

x+5

1

=

60

48

⋅

360

1

⇒

x

2

+5x

5

=

450

1

⇒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