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?

Step-by-step explanation:

We need to find the combined speed for all the boys

given

Brendan completes 1 lap in 4 minutes= 1/4 laps per minutes

Miguel completes 1 lap in 6 minutes=1/6 laps per minutes

Jeron completes 1 lap  in 3 minutes= 1/3 laps per minutes

the the combined minutes be x

1/4+1/6+1/3= 1/x

3+2+4/12=1/x

9/12=1/x

3/4=1/x

x=4/3 minutes

x=1.33minute

Thus running together at the same rate it will take them 1.33minutes to complete a lap together

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step-by-step explanation: