Question

A train covers a distance in 50 min, if it runs at a speed of 48 km/h. Calculate the
speed at which the train must run to reduce the time of journey to 40 min.

Answer 1

ANSWER :-

• Speed = 60 km / h

GiVeN :-

• Time (t) = 50 minutes

• Speed (s) = 48 km/h

To FiNd :-

• Speed of train to cover same distance in 40 minutes.

SoLuTiOn :-

Here,

Time (t) = 50 min. And Speed = 48 km/h,

So,

We have to change the time in hours or

speed in m/s,

So,

• Time = 50 min

And we know that,

• 60 minutes = 1 hour

So,

• 50 minutes = 50/60 = 5/6 hrs

Now,

Let distance covered by train be x km,

Then,

We know that,

• Distance = Speed × Time

So,

• x = 48 × 5/6 = 40 km

Now,

• Distance = x = 40 km

According To Question,

Speed to cover it in 40 minutes

• 40 minutes = 40/60 = 2/3 hrs

We know that,

• Speed = Distance/ Time

So,

$\implies \: Speed \: = \frac{40}{ \frac{2}{3} } = 40 \times \frac{3}{2} = \frac{120}{2} = 60 \: km/h$

So,

It will cover the distance at speed of 60 km/h