Multiple choice

Uday and Hrithik start at the same time to travel towards each other on a straight road at respective speeds of 140 km/hr and 150 km/hr. When they meet, it was found that one of them had covered 20 mts more than the other. Find the initial distance between them (in mts).

  1. 290

  2. 580

  3. 2900

  4. 5800
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed = 140 + 150 = 290 km/hr. Ratio of speeds = 140:150 = 14:15. Distance covered ratio = 14:15. Difference in distance = 1 part = 20 meters. Total distance = 14+15 = 29 parts = 29 * 20 = 580 meters.

AI explanation

Since both Uday and Hrithik travel for the exact same amount of time until they meet, the difference in the distances they cover is due to their speed difference of 10 kmph. Converting this speed difference to meters per second gives 10*(5/18) = 25/9 m/s. Let the time taken to meet be T seconds, leading to the equation (25/9)T = 20, so T equals 7.2 seconds. Their relative speed is 140 + 150 = 290 kmph, which is 290(5/18) = 725/9 m/s, making the initial total distance (725/9)*7.2 = 580 meters.

Keep practicing — related questions