a celebrity leaves a night club by car traveling at 15 miles

a celebrity leaves a night club by car traveling at 1.5 miles per minute(90MPH)trying to avoid a tabloid photagrapher. One minute later, the photagrapher leaves the night club on his motorcycle, traveling at 2 miles per minute(120 MPH) in pursuit of the celeb. how long will it take the photographer to catch up with the celeb?

Solution

1.5*x=2(x-1)
1.5x=2x-2
1.5x-2x=-2
-.5x=-2
x=-2/-.5
x=4 minutes the photagrapher will catch the celebrity.
Proof:
1.5*4=2(4-1)
6=2*3
6=6