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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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
%281%2F3%29%2F4 * 60 =
which is
1%2F3*1%2F4*60 = 5 min
:
Find the time for Ken at 6 mph
1%2F3*1%2F6*60 = 31%2F3 min:
:
Mike is twice as fast as Joe, therefore
5%2F2 = 21%2F2 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) About Me  (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 1%2F6-hour mark, or highlight_green%2810%29 minutes after they start

Proof

Joe does 1 lap of the track in 1%2F3 ÷ 4, or 1%2F12 hr, or 5 minutes. He will have completed 2 laps in 2(5), or 10 minutes

Ken does 1 lap of the track in 1%2F3 ÷ 6, or 1%2F18 hr, or 10%2F3 minutes. He will have completed 3 laps in 3%2810%2F3%29, or 10 minutes

Mike does 1 lap of the track in 1%2F3 ÷ 8, or 1%2F24 hr, or 5%2F2 minutes. He will have completed 4 laps in 4%285%2F2%29, or 10 minutes



If you need a complete and detailed solution, let me know!!



Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously. 

	

For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams, 

GENERAL MATH QUESTIONS, MATH HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,

Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE, GRE, CLEP,

and the GED, you can visit: http://asvabstudyzone.freeforums.net/.