SOLUTION: one car travels 300 miles in the same amount of time it takes a second car traveling 5 miles per hour slower than the first to go 275 miles. what are the speeds of the cars

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: one car travels 300 miles in the same amount of time it takes a second car traveling 5 miles per hour slower than the first to go 275 miles. what are the speeds of the cars      Log On


   

Question 117499: one car travels 300 miles in the same amount of time it takes a second car traveling 5 miles per hour slower than the first to go 275 miles. what are the speeds of the cars
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
300+=+r%2At
275+=+%28r-5%29%2At
300%2Fr+=+275%2F%28r-5%29
300r+-+1500+=+275r
25r+=+1500
r+=+60
r-5+=+55
The speed of the car that travels 300 mi is 60 mi/hr
The other car's speed is 55 mi/hr
check answers
300+=+r%2At
300+=+60%2At
t+=+5hrs
275+=+%28r-5%29%2At
275+=+%28r-5%29%2A5
275+=+5r+-+25
5r+=+300
r+=+60
OK