Three friends started running on a circular track at same time from same point. If they take 45sec, 48sec and 54sec to complete one round, In how much time, they will meet at starting point for first time?
Answers
Step-by-step explanation:
they will meet again after 2160 sec in minute 36 minute for these types of questions you have to find first lcm the lcm of 45 and 48 and 54 is 2160 and that's the answer
It takes 2160 seconds to meet at starting point for first time
Solution:
Given that,
Three friends started running on a circular track at same time from same point
They take 45 sec, 48 sec and 54 sec to complete one round
To find: time taken to meet at starting point for first time
Which means, we have to find the LCM 45 , 48 , 54
FIND LCM OF 45 , 48 , 54
List all prime factors for each number.
Prime Factorization of 45 is: 3 x 3 x 5
Prime Factorization of 48 is: 2 x 2 x 2 x 2 x 3
Prime Factorization of 54 is: 2 x 3 x 3 x 3
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
2, 2, 2, 2, 3, 3, 3, 5
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 2160
Thus it takes 2160 seconds to meet at starting point for first time
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