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.:
Find the time for JOe to circle the track at 4 mph in minutes. time = dist/speed
{{{(1/3)/4}}} * 60 =
which is
{{{1/3}}}*{{{1/4}}}*60 = 5 min
:
Find the time for Ken at 6 mph
{{{1/3}}}*{{{1/6}}}*60 = 3{{{1/3}}} min:
:
Mike is twice as fast as Joe, therefore
{{{5/2}}} = 2{{{1/2}}} 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