SOLUTION: Two taxis travel in opposite directions. The speed of the first taxi is 10 miles per hour faster than the second. After 3 hours, they are 150 miles apart. Find their rates.

Question 948738: Two taxis travel in opposite directions. The speed of the first taxi is 10 miles per hour faster than the second. After 3 hours, they are 150 miles apart. Find their rates.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
The taxis are separating at a rate of (150 mi/3hrs)=50 mi/hr.
Let s= the second taxi's speed; the first taxi's speed =s+10 mi/hr
The combined speed=50 mi/hr, so:
s+(s+10 mi/hr)=50 mi/hr
2s+10 mi/hr=50 mi/hr Subtract 10 mi/hr from each side.
2s=40 mi/hr Divide each side by 2.
s=20 mi/hr ANSWER 1: The slower taxi was traveling at 20 mi/hr
S+10 mi/hr=20 mi/hr + 10 mi/hr=30 mi/hr ANSWER 2: The faster taxi's rate was 30 mi/hr.
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