Stacy and Helon are 30 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 1 mile per hour faster than helon's constant rate of 5 miles/hour. If Helon starts her journey 24 minutes after Stacy, how far from the original destination has Helon walked when the two meet?
Choose the correct choice from the following options:
A) 5 miles  B) 8 miles  C) 6 miles  D) 13 miles  E) 12 miles
Original distance between S and H = 30 miles.   Speed of S = 5+1= 
<gadget id="calculator">5+1</gadget>
<output>6</output>
6 mph, Speed of H= 5 mph.   Time traveled by H = t hours ---&gt; time traveled by S = t+24/60 = t+2/5 hours.   Now, the total distances traveled by S and H = 20 miles ---&gt; 6*(t+2/5)+5*t=30 ---&gt; t= 138/55 hours. Thus H has traveled for 138/55 hours giving you a total distance for H = 5*138/55 = 13 miles.   D is thus the correct answer.   P.S.: based on the wording of the question, you should calculatehow far from theoriginal destination has Heather walkedwhen the two meet. 'Original destination' for H does not make any sense. Original destination for H was situated at a distance of 20 miles.
<result>D</result>
Stacy and Helon are 30 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 1 mile per hour faster than helon's constant rate of 5 miles/hour. If Helon starts her journey 24 minutes after Stacy, how far from the original destination has Helon walked when the two meet?