Question

A train travels from city x to city y at a speed of 44 kmph, while on its return journey the train was travelling at speed of 77 kmph. Find the average speed of the train

Answer 1

Answer:

answer is 16.5

Explanation:

v-u÷t

77-44÷2

33÷2

16.5

Answer 2

Answer:

The average speed of the train is 56 km/h.

Explanation:

Given that,

Speed of train from city x to y = 44 km/h

Speed of train from city y to x = 77 km/h

Let the distance city x to y is x.

Time taken when travelling from city x to y

$t_{1}=\dfrac{x}{v_{1}}$

$t_{1}=\dfrac{x}{44}$

Time taken when travelling from city y to x

$t_{2}=\dfrac{x}{v_{2}}$

$t_{2}=\dfrac{x}{77}$

We need to calculate the average speed

Using formula of average speed

$v_{avg}=\dfrac{D}{T}$

Where, D = total distance

T = total time

Put the value into the formula

$v_{avg}=\dfrac{2x}{t_{1}+t_{2}}$

$v_{avg}=\dfrac{2x}{\dfrac{x}{44}+\dfrac{x}{77}}$

$v_{avg}=\dfrac{2\times44\times77}{121}$

$v_{avg}=56\ km/h$

Hence, The average speed of the train is 56 km/h.