Multiple choice

A train moves at a speed, which is $50\%$ more than the speed of a car. Both start from the point P simultaneously and arrive at a point Q, $120$ km away from P at the same time. While on the way, however, the train lost about half an hour while taking halt at the stations. The speed of the car is

  1. $80 km/hr$
  2. $90km/hr$
  3. $70km/hr$
  4. $60km/hr$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let car speed be v. Train speed = 1.5v. Time taken by car = 120/v. Time taken by train = 120/(1.5v) + 0.5. Since times are equal, 120/v = 80/v + 0.5. 40/v = 0.5, so v = 80 km/hr.