SOLUTION: A New York City taxi recently cost $2.50 plus $1.00 per half mile. A taxi in Boston cost $1.45 plus $1.20 per half mile. For what distance will the taxis cost the same?

Question 203850: A New York City taxi recently cost $2.50 plus $1.00 per half mile. A taxi in Boston cost $1.45 plus $1.20 per half mile. For what distance will the taxis cost the same?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A New York City taxi recently cost $2.50 plus $1.00 per half mile. A taxi in Boston cost $1.45 plus $1.20 per half mile. For what distance will the taxis cost the same?
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250 + 100h = 145 + 120h (h is the 1/2 miles that make it equal)
105 = 20h
h = 5.25 1/2 miles
d = 2.25 miles
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Check:
250 + 5.25*100 =? 145 + 5.25*120
250 + 525 =? 145 + 630
775 = 775 --> it's correct
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