Brendan, Miguel, and Jeron run around the track. They start at the same place and at the same time. They each run at a steady rate. Brendan completes a lap in 4 minutes, Miguel completes a lap in 6 minutes, and Jeron completes a lap in3 minutes. The boys want to know how many minutes it will take after they start running until they complete a lap at the same time. How many minutes will it take Brendan, Miguel, and Jeron first complete a lap at the same time?
To find out how many minutes it will take for Brendan, Miguel, and Jeron to complete a lap at the same time, we need to find the least common multiple (LCM) of their lap times.
The LCM of 4, 6, and 3 is 12.
This means that Brendan will complete 3 laps (12 divided by 4) in 12 minutes, Miguel will complete 2 laps (12 divided by 6) in 12 minutes, and Jeron will complete 4 laps (12 divided by 3) in 12 minutes.
Therefore, it will take 12 minutes for Brendan, Miguel, and Jeron to complete a lap at the same time.