manju and manish participate in a cycle race organised for national integration manju takes 18 minutes to complete one round while Manish takes 12 minutes for the same suppose they both start at the same time and go in the same direction after how many minutes will they meet again at the starting point
Answers
Answer:
Step-by-step explanation:
take L.C.M. of both 18 &12
lcm= 36
so they will meet after 36 minutes.
Answer:
Time taken by both of them to meet again is 36 minutes
Step-by-step explanation:
Time taken by Manju to complete one round = 18 minutes
Time taken by Manish to complete one round = 12 minutes
Time taken by both of them to meet again = LCM of both the times, that is,
LCM ( 18 , 12 )
Factorization of 18 :
= 2 * 9
= 2 * 3 * 3
So,
18 = 2 * 3²
Factorization of 12 :
= 2 * 4
= 2 * 2 * 3
So,
20 = 2² * 3
Since,
LCM is the product of the greatest power of each prime factor involved in the numbers.
Greatest power of 2 is 2 ,that is, 2²
Greatest power of 3 is 2 , that is, 3²
So,
LCM = 2² * 3² = 4 * 9
LCM = 36
Hence,
Time taken by both of them to meet again is 36 minutes