SOLUTION: Two cars, one traveling 10 mph faster than the other car, start at the same time from the same point and travel in opposite directions. In 3 hours they are 300 mi apart. Find the r

Question 937095: Two cars, one traveling 10 mph faster than the other car, start at the same time from the same point and travel in opposite directions. In 3 hours they are 300 mi apart. Find the rate of each car.
Found 2 solutions by TimothyLamb, Danielshinmath:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = speed of faster car
y = speed of slower car
---
x = y + 10
---
s = d/t
s = 300/3
s = 100
---
speed of cars relative to each other:
s = x + y
s = y + 10 + y
s = 2y + 10
---
equate s's:
2y + 10 = 100
2y = 90
y = 45
x = 55
---
answer:
x = speed of faster car = 55 mph
y = speed of slower car = 45 mph
---
Free algebra tutoring live chat:
https://sooeet.com/chat.php?gn=algebra
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
Answer by Danielshinmath(31) (Show Source): You can put this solution on YOUR website!
This means the faster car will go 30 miles total more than the slower car. So that means the slower car + the faster car=300. Th faster car is 30 +the slower car, so it is 2(slower car)+30=300 so that means 2 times the slower car is 270. But they have driven 3 hours, so each car goes 45mph and 45+10=55mph.
ANSWER:45mph and 55mph
RELATED QUESTIONS
Two cars, one traveling 10 mph faster than the other, start at the same time from the... (answered by ewatrrr)
Two cars, one traveling 12 mph faster-than the other, start at the same time from the... (answered by drj)
Two cars, one traveling 8 miles per hour faster than the other, start at the same time... (answered by JulietG)
Two cars start at the same time from the same point and travel in opposite directions.... (answered by Mathtut)
Two cars start at the same time from the same point and travel in opposite directions.... (answered by Alan3354)
Two cars start at the same place and time and travel in opposite directions. One car is (answered by stanbon,solver91311)
two cars start at the same place and time, and travel in opposite directions. One car is... (answered by rfer)
two cars start from the same point and travel in opposite directions. One car goes 15 mph (answered by mananth)
Two cars leave Denver at the same time and travel in opposite directions. One car travels (answered by mananth)