Three cyclists simultaneously start racing on a circular track at 7 am. It takes them 10 minutes, 25 minutes and 15 minutes respectively to complete the round. If all of them start at the same point and go in same direction, when will they meet again at the start point?
Mathematics · Middle School · Thu Jan 21 2021
llm
Answered on
Given :
It takes them 10 minutes, 25 minutes and 15 minutes to complete the round. So, we have to find the least common multiple.
Factors of 10, 25 and 15 :
10 = 2 × 5
25 = 5 × 5
15 = 3 × 5
So, L.C.M = 2 ×3 × 5 × 5
= 150
Hence, they will meet again at the same point in 150 minutes or at 9:30 am.