Multiple choice

Anil, Sunil and Ravi run along a circular path of length 3 km, starting from the same point at the same time, and go in the clockwise direction. If they run at speeds of 15 km/hr, 10 km/hr and 8 km/hr, respectively, how much distance in km will Ravi have run when Anil and Sunil meet again for the first time at the starting point?

  1. 4.2

  2. 5.2

  3. 4.8

  4. 4.6
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Time for Anil to complete a lap = 3/15 = 1/5 hr. Time for Sunil = 3/10 = 3/10 hr. They meet at the start when time is a multiple of both 1/5 and 3/10. LCM(1/5, 3/10) = 3/5 hr. In 3/5 hr, Ravi (speed 8 km/hr) runs 8 * 0.6 = 4.8 km.

AI explanation

Using the relationship Time equals Distance divided by Speed, the time taken by Anil and Sunil to complete one round of the 3 km track is 3/15 hours and 3/10 hours respectively. Their least common multiple is 3/5 hours, meaning they next meet at the starting point after 3/5 hours. Ravi runs at a constant speed of 8 km/hr, so the distance he covers in this time is 8 multiplied by 3/5, which equals 24/5 or 4.8 km. The result is 4.8.

Keep practicing — related questions