SOLUTION: There are 3 men riding bicycles all starting at the same time. They are on a 1/3 mile track. One is traveling 4 mph, one is traveling 6 mph and one is traveling 8 mph. How many

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: There are 3 men riding bicycles all starting at the same time. They are on a 1/3 mile track. One is traveling 4 mph, one is traveling 6 mph and one is traveling 8 mph. How many       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 730910: There are 3 men riding bicycles all starting at the same time. They are on a 1/3 mile track. One is traveling 4 mph, one is traveling 6 mph and one is traveling 8 mph. How many minutes will it be until they are together at the starting point for the first time?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
There are 3 men riding bicycles all starting at the same time.
They are on a 1/3 mile track.
One is traveling 4 mph, one is traveling 6 mph and one is traveling
8 mph. How many minutes will it be until they are together at the
starting point for the first time?
:
The first guy completes a lap in .33%2F4* 3600 = 300 seconds
The 2nd guy completes a lap in .33%2F6 * 3600 = 200 seconds
The 3rd guy completes a lap in .33%2F8 * 3600 = 150 seconds
:
Least common multiple of all three lap times:
In 600 seconds which is 10 minutes, they should all be at the start
Guy 1 completes 2 laps
Guy 2 completes 3 laps
guy 3 completes 4 laps