Aman can run 90 meters in 15 seconds, while Rohit can run 90 meters in 18 seconds. If they participate in a race and Aman defeats Rohit by 300 meters, find the length of the race.

ATQ, Aman covers 90 meters in 15 seconds. So, Aman’s speed = 90/15 = 6 meters per second. Rohit covers 90 meters in 18 seconds. So, Rohit’s speed = 90/18 = 5 meters per second. So, the ratio of Aman’s speed to Rohit’s speed = 6 : 5. In a race, both run for the same time until the faster runner completes the race. Therefore, the ratio of the distances covered by them will also be 6 : 5. This means that when Aman covers 6 parts of the race, Rohit covers 5 parts of the race. Difference between their distances = 6 parts − 5 parts = 1 part. According to the question, Aman defeats Rohit by 300 meters. So, 1 part = 300 meters. Length of the race = 6 parts. Length of the race = 6 × 300 = 1800 meters.