SOLUTION: Three wheels make 60, 36 and 24 revolutions per minute. Each has a red spot on its rim, which is at the lowest position at time zero. The red spot will all be at this position agai

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Three wheels make 60, 36 and 24 revolutions per minute. Each has a red spot on its rim, which is at the lowest position at time zero. The red spot will all be at this position agai      Log On


   

Question 596278: Three wheels make 60, 36 and 24 revolutions per minute. Each has a red spot on its rim, which is at the lowest position at time zero. The red spot will all be at this position again after:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Three wheels make 60, 36 and 24 revolutions per minute. Each has a red spot on its rim, which is at the lowest position at time zero. The red spot will all be at this position again after:
----
Find the least common multiply of the three numbers:
-----
60 = 2^2*3*5
36 = 2^2*3^2
24 = 2^3*3
----------------
The lcm = 2^3*3^2*5 = 8*9*5 = 360
The red spots will align after 360 revolutions.
======================================
Cheers,
Stan H.