SOLUTION: Rainey drove 330 miles for tuscon to her hometown. During her return trip, she was able to increase her speed by 11 mph. If her return trip took 1 hour less time, find her original

Question 440946: Rainey drove 330 miles for tuscon to her hometown. During her return trip, she was able to increase her speed by 11 mph. If her return trip took 1 hour less time, find her original speed and her speed returning.
can you help?
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
330/x=330/(x+11)+1
330(x+11)=330x+x2+11x
330x+3630=330x+x2+11x
0=x2+11x-3630
0=(x-55)(x+66)
x=55 or -66
Throwing out the negative answer, we get Rainey's speed from Tucson to be 55mph, her return trip was 66mph..

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