Question 154031
Distance(d) equals Rate (r) times Time(t) or d=rt;  r=d/t and t=d/r
Let t=time required to catch the front runner
Front runner runs at the rate of r
You run at the rate of r+2
Distance front runner runs =10+r*t (already has a 10 mi head start)
Distance you run=(r+2)*t=rt+2t

Now when the above two distances are equal, you will have caught the front runner, so:
10+rt=rt+2t
subtract rt from each side
10+rt-rt=rt-rt+2t collect like terms
2t=10
t=5 hours

Distance hornet flew (d)=Rate of hornet (20 mph)* amount of time the hornet flew (5 hr)

d=20*5=100 mi 

Just as Stan sez

Hope this helps---ptaylor