Question

A train travels from station X to station Y with a speed of 40Km/hr and returns with a speed of 50Km/hr then average speed of total journey is​

Answer 1

Answer:

A train travels from one station to another at a speed of 40km/hr and returns to the first station at the speed of 60km/hr.calculate the average speed and average velocity of the train

Answer 2

Given

• $\text{Speed of train station X to station Y is 40km/h }$
• $\text{Returns with a speed of 50km/h }$

To Find

• Average Speed

Solution

Let Distance be D

and time be T

$\sf{Time_1 = \dfrac{Distance}{Speed} }$

$\sf{Time_1 = \dfrac{D }{40} }$

$\sf{Time_2 = \dfrac{Distance}{Speed} }$

$\sf{Time_2 = \dfrac{D}{50} }$

We know that

$\sf{Average \: \: Speed= \dfrac{D +D }{ \dfrac{D}{40} +\dfrac{D}{50} }}$

$\sf{Average \: \: Speed= \dfrac{2D }{ \dfrac{5D + 4D}{200} }}$

$\sf{Average \: \: Speed= \dfrac{2D }{ 9D} \times 200}$

$\sf{Average \: \: Speed= \dfrac{400 }{ 9} }$

$\sf{Average \: \: Speed= 44 km/h}$