Suresh can run 150 meters in 25 seconds, while Mahesh can run 150 meters in 30 seconds. If Suresh defeats Mahesh by 250 meters, find the length of the race.

ATQ, Suresh covers 150 meters in 25 seconds. So, Suresh’s speed = 150/25 = 6 meters per second. Mahesh covers 150 meters in 30 seconds. So, Mahesh’s speed = 150/30 = 5 meters per second. So, the ratio of Suresh’s speed to Mahesh’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 Suresh covers 6 parts of the race, Mahesh covers 5 parts of the race. Difference between their distances = 6 parts − 5 parts = 1 part. According to the question, Suresh defeats Mahesh by 250 meters. So, 1 part = 250 meters. Length of the race = 6 parts. Length of the race = 6 × 250 = 1500 meters.