There is a circular path around a sport field sonia takes 18 minutes to drive one round of the field while ravi takes 12 minutes for the same direction after how many minutes will they meet again at the station point
Answers
Answer:
36
Step-by-step explanation:
find LCM of both
LCM of 12 and 18 is 36
Question :-
There is a circular path around a sport field sonia takes 18 minutes to drive one round of the field while ravi takes 12 minutes for the same direction after how many minutes will they meet again at the starting point.
Solution :
✒Time taken by Sonia to drive one round of the field = 18 minutes
✒Time taken by Sonia to drive one round of the field = 18 minutesTime taken by Ravi to drive one round of the field = 12 minutes
✒They meet again at starting point = LCM of 18 and 12.
✒Prime factorisation of 18 and 12 are
18 = (2) (9) = (2) (3) (3)
= (2) (3)²
12 = (2) (6) = (2) (2) (3)
= (2)² (3)
LCM (18, 12) = (2)² (3)²
= 4 × 6 = 36
Therefore, after 36 minutes Sonia and Ravi will meet again at starting point .