SOLUTION: 2 rockets are launched. the first one travels 9000mph. 15 minutes later the second is launched at 10000mph. What is the distance at which both rockets are an equal distance from

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Question 32931This question is from textbook
: 2 rockets are launched. the first one travels 9000mph. 15 minutes later the second is launched at 10000mph. What is the distance at which both rockets are an equal distance from earth.
Please help me set up the equation.
Thank you This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let the unknown distance be "x".
Nine Thousand mph rocket data:
distance = x; rate=9000mph; time= (x/9000)hrs.
Ten Thousand mph rocket data:
distance = x; rate=10000mph; time= (x/10000)hrs.
EQUATION:
time-time= (1/4)hr.
x/10000 -x/9000 = 1/4
[9000x-10000x)/(9E7)=1/4
1000x=9E7/4
x= 9E7/4000
x= 22500 miles
Cheers,
Stan H.