Question 690729
You run at a rate of 4 miles per hour and your friend runs at a rate of 3.5 miles per hour.
 Your friend starts running 10 minutes before you, and you run for a half hour on the same path.
 Will you catch up to your friend? Use a graph to support your answer.
:
The question is, Does your friend run further in 40 min than you run in 30 min.
:
Friend: {{{40/60}}} * 3.5 = 2{{{1/3}}} mi
You: {{{30/60}}} * 4 = 2 mi 
You won't catch up in a half hour
:
Graph it in ft/min; You in red, friend in green
:
4 mph: {{{(4*5280)/60}}} = 352 ft/min; y = 352x 
3.5 mph: {{{(3.5*5280)/60}}} = 308 ft/min; y = 308(x+10)
:
{{{ graph( 300, 200, -10, 100, -5000, 30000, 353x, 308(x+10)) }}}
You can see that at 30 min green is still ahead of red
Take about 70 min for you to catch your friend