Teena takes 12 hours to go from her city to another city by train. If she goes by car, whose speed is 1.5 times more that of train, then how much time will she take to cover the same distance?

Question

Teena takes 12 hours to go from her city to another city by train. If she goes by car, whose speed is 1.5 times more that of train, then how much time will she take to cover the same distance?(Via Step by Step Explanation)

Answer 1

Both objects move at constant velocity motion.

For constant velocity motion distance is the product of velocity and time: d=V*t

For train: d= 12 h * V_trian

For car: d= V _car * t _car

It is given that V_car= 1.5V_{trian ,} then d= 1.5V_trian*t _car

Since the distance travelled by car or train is the same then we can say:

12 h * V_trian= 1.5V_trian*t _car

We can divide both sides over V_trian and solve equation for t _car :

t _car = 12h/1.5 =8hours.

It will take 8 hours to cover the same distance.