Stacy and Heather are 20 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 2 mile per hour faster than heather's constant rate of 5 miles/hour. If Heather starts her journey 24 minutes after Stacy, how far from the original destination has Heather walked when the two meet?  Choose the correct choice from the following options.
A) 5miles
B) 7 miles
C) 9 miles
D) 10 miles
E) 12 miles
Original distance between S and H = 20 miles.   Speed of S = 5+2= 
<gadget id="calculator">5+2</gadget>
<output>7</output>
7 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; 7*(t+2/5)+5*t=20 ---&gt; t= 86/60 hours. Thus H has traveled for 86/60 hours giving you a total distance for H = 5*86/60 = 7 miles.   B 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>B</result>
Stacy and Heather are 20 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 2 mile per hour faster than heather's constant rate of 5 miles/hour. If Heather starts her journey 24 minutes after Stacy, how far from the original destination has Heather walked when the two meet?