Multiple choice

Abhishek and John start at the same time to travel towards each other on a straight road at respective speeds of 120 km/hr and 130 km/hr. When they meet, it was found that one of them had covered 40 mts more than the other. Find the initial distance between them (in mts).

  1. 480

  2. 520

  3. 980

  4. 1000
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D Correct answer
Explanation

The relative speed of the two travelers is 120 + 130 = 250 km/hr. The difference in distance covered is proportional to the difference in their speeds; since one covers 40 meters more, the ratio of their speeds (120:130) implies the total distance is (120+130)/(130-120) * 40 meters. This calculates to 250/10 * 40 = 1000 meters.

AI explanation

The difference in their speeds is 130 km/hr minus 120 km/hr, which equals 10 km/hr, meaning the faster person travels 10 km more than the slower one every hour. Converting this difference to meters shows one covers 10000 meters more per hour; since the actual difference at the meeting point is 40 m, they meet after 40 divided by 10000 hours. Their relative speed is 250 km/hr, so multiplying 250 by 1000 and then by the time fraction 0.004 gives an initial distance of 1000 meters.

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