Multiple choice

If two cars $A$ and $B$ move towards each other, where car $A$ starts at $9$ a.m. and $B$ at $10$ a.m. The speeds of the car $A$ and $B$ are $40$ km/hr and $50$ km/hr respectively. what distance does car travel when the two cars meet, if the initial distance between $A$ and $B$ is $400$ km?

  1. $100$ km
  2. $200$ km
  3. $300$ km
  4. $400$ km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Car A travels for 1 hour alone (9am to 10am) covering 40 km. Remaining distance = 400 - 40 = 360 km. Relative speed = 40 + 50 = 90 km/h. Time to meet = 360 / 90 = 4 hours. Car A travels for 1 + 4 = 5 hours. Distance = 5 * 40 = 200 km.

AI explanation

By 10 a.m., car A travels 40 km, reducing the initial distance of 400 km to 360 km. From 10 a.m., their relative speed is 40 km/hr plus 50 km/hr, which equals 90 km/hr. They meet after 360 km divided by 90 km/hr, which is 4 hours. In those 4 hours, car B travels 4 hours multiplied by 50 km/hr, which equals 200 km. The question asks for the distance car B travels when they meet, which is 200 km.

Keep practicing — related questions