Math Q !!

<p>Jim and Ryan run laps around a track which is .25 of a mile long. If Jim runs 'h' laps per hour, Ryan runs half as fast as Jim, and Jim starts running half an hour before Ryan, how many miles farther than Ryan has Jim run 2 hours after Jim starts??
A.1.25h/4
B.2.25h/4
C.5h/4
D.5/h
E.4h/1.5</p>

<p>Im stuck on this q, i would really appreciate ur help
Thanks</p>

<p>Hooray, a d=rt (read "dirt") problem! What you have to do here is set up two equations, and you can put them into a "d=rt" chart.
I hope this lines up right...
D = R * T
Jim D(Jim) = h * 2
Ryan D(Ryan) = (1/2)h * 1.5</p>

<p>So Jim's distance is 2h and Ryan's is (3/4)h. 2h - (3/4)h = 1.25h, so I'd say the answer is A. (It's divided by 4 because h measures laps, and each lap is 1/4 mile.) This is what makes sense to me, but of course, I could be wrong, so I'm more than willing to see anyone correct me. The only other answer of A-E that seems logical to me is D, but I'm not sure how you'd get to it mathematically.</p>