Three friends A, B and C start running around a circular stadium and complete a single round in , and , respectively. After how many minutes will they meet again at the starting point?
- A
- B
- C
- D
Solution & Step-by-step Explanation
To find the time when they will meet again at the starting point, we need to find the Least Common Multiple (LCM) of their individual timings.
Given timings are: , , and .
Let's find the LCM of and :
* Prime factorization of
* Prime factorization of
* Prime factorization of
Now, convert the time from seconds to minutes:
Thus, they will meet again after .
Given timings are: , , and .
Let's find the LCM of and :
* Prime factorization of
* Prime factorization of
* Prime factorization of
Now, convert the time from seconds to minutes:
Thus, they will meet again after .