Question

A train covers the first half of the distance between two stations at a speed of 40 km/h and the other half at 60 km/h. then its average speed is:

Answer 1

See the attached pic.
HOPE IT HELPS U.

Answer 2

Answer:

The average speed of the train is 40 km/hr.

Step-by-step explanation:

Given : A train covers the first half of the distance between two stations at a speed of 40 km/h and the other half at 60 km/h.

To find : Its average speed ?

Solution :

Let the d be half distance covered

Let s be the average speed

We know, $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

According to question,

$\frac{d}{40}+\frac{d}{60}=\frac{2d}{s}$

$\frac{1}{40}+\frac{1}{60}=\frac{2}{s}$

$\frac{60+40}{40\times 60}=\frac{2}{s}$

$\frac{100}{2400}=\frac{2}{s}$

$s=\frac{2\times 2400}{100}$

$s=48$

Therefore, The average speed of the train is 40 km/hr.