Question

A train travels with a speed of 60km/hr from station a to station b and then comes back with a same speed 80km/hr from station b to station a. Find the average speed and the average velocity of train.

Answer 1

$\huge{\underline{\tt{\red{Answer-}}}}$

Let the distance A and B be x km

Speed while going =60 kmph

∴ time required to go = $\dfrac{x}{60}hr$

Speed while returning =80 kmph

∴ time required to return = $\dfrac{x}{80}hr$

∴ total time required = $\dfrac{7x}{240}hr$

And, total distance travelled =2x km

∴Average velocity= $\dfrac{\dfrac {2x}{7x}}{240}kmph$

$\implies =68.57kmph$