From the following information in the problem, we construct the following equations: (assuming that we use m=movies and v=video games.)
Using the method of substitution:
and so m=19/2-v.
Substituting this into equation 1, we get:
v=5.75 and so m=3.75
Problem 16 2012 AMC10 A
Three runners start running simultaneously from the same point on a 500 -meter circular track. They each run clockwise around the course maintaining constant speeds of 4.4, 4.8 , 5.0 and meters per second. The runners stop once they are all together again somewhere on the circular course. How many seconds do the runners run?
(A)1000 (B)1250 (C)2500 (D)5000 (E)10000