SOLUTION: Joe ken and mike are three bicycle riders starting together and traveling around a track that is 1/3 of a mile. One travels 4mph, one 6mph, and one 8mph. In how many minutes will t

Question 826275: Joe ken and mike are three bicycle riders starting together and traveling around a track that is 1/3 of a mile. One travels 4mph, one 6mph, and one 8mph. In how many minutes will they next be together at the starting point for the first time.
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Joe ken and mike are three bicycle riders starting together and traveling around a track that is 1/3 of a mile.
One travels 4mph, one 6mph, and one 8mph.
In how many minutes will they next be together at the starting point for the first time.:
Find the time for JOe to circle the track at 4 mph in minutes. time = dist/speed
* 60 =
which is
**60 = 5 min
:
Find the time for Ken at 6 mph
**60 = 3 min:
:
Mike is twice as fast as Joe, therefore
= 2 min for Mike
:
Try 30 min for them all to be at the starting point
:
30/5 = 6 times around the track by Joe
30/3.3333 = 9 times by Ken
30/2.5 = 12 times by Mike

Answer by MathTherapy(10557) (Show Source): You can put this solution on YOUR website!
Joe ken and mike are three bicycle riders starting together and traveling around a track that is 1/3 of a mile. One travels 4mph, one 6mph, and one 8mph. In how many minutes will they next be together at the starting point for the first time.

They will meet at the starting point at the -hour mark, or minutes after they start
Proof
Joe does 1 lap of the track in � 4, or hr, or 5 minutes. He will have completed 2 laps in 2(5), or 10 minutes
Ken does 1 lap of the track in � 6, or hr, or minutes. He will have completed 3 laps in , or 10 minutes
Mike does 1 lap of the track in � 8, or hr, or minutes. He will have completed 4 laps in , or 10 minutes
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