Question 523656

My homework is on story problems and i just dont know how to set it up niether do my parents. 
Question:
YOur aunt and uncle have been visiting at your home.  Five minutes after they drive away, you realize that they forgot thier bags.  You happen to know that they drive slowly, so you get in your car and drive to catch up to them.  Your average speed is 10 mph faster than thier average speed,and you catch up with them in 25 minutes.  How fast did you drive?  
Verbal Model- Your speed = Their Speed + 10 mph
              Your speed x Your time in hours = Their speed x Their speed in hour


Let my speed be S
Then my aunt and uncle’s speed = S - 10


Time I took to travel to meeting point = 25 minutes, or {{{5/12}}} hr
Time that my aunt and uncle took to travel to meeting point = 30 (5 + 25) mins, or ½ hr


Because distance I traveled = distance my aunt and uncle traveled, then: 


{{{(5/12)*S = (1/2)*(S - 10)}}}


{{{(5S/12) = (S - 10)/2}}}


12(S – 10) = 10S ------ Cross-multiplying


12S – 120 = 10S


2S = 120


S, or my speed = {{{120/2}}}, or {{{highlight_green(60)}}} mph


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