Intermediate Algebra
posted by Please Help :) .
A car travels 30 miles in the same time that a car traveling 5 miles per hours faster travels 45 miles. What is the rate of each car?

speed of slower car  x
speed of faster car  x+5
time of slower car to go 30 miles = 30/x
time of faster car to go 45 miles = 45/(x+5)
but they are the same, so 
45/(x+5) = 30/x
45x = 30x + 150
15x = 150
x = 10
so the slow car goes 10 mph (very slow) and the faster car goes 15 mph
check:
at 10 mph, it takes 30/10 or 3 hrs to got 30 miles.
at 15 mph , to go 45 miles, takes 45/15 = 3 hrs
Respond to this Question
Similar Questions

math
Currently, the Toyota Corolla is the best selling car in the world. Suppose that during a test drive of two Corollas, one car travels 224 miles in the same time that the second car travels 175 miles. If the speed of the firstvcar is … 
math
Currently, the Toyota Corolla is the best selling car in the world. Suppose that during a test drive of two Corollas, one car travels 224 miles in the same time that the second car travels 175 miles. If the speed of the first car is … 
math
Currently, the Toyota Corolla is the best selling car in the world. Suppose that during a test drive of two Corollas, one car travels 224 miles in the same time that the second car travels 175 miles. If the speed of the first car is … 
Intermediate Algebra
A car travels 30 miles in the same time that a car traveling 5 miles per hours faster travels 45 miles. What is the rate of each car? 
algebra
One car travels 105 miles in the same amount of time it takes a second car traveling 6 miles per hour slower than the first to go 87 miles. What are the speeds of the cars? 
math
Two cars leave at the same time from towns that are 460 miles apart and travel toward each other. They meet after 4 hours. Find the rate of each car if one car travels 13 miles per hour faster than the other. 
algebra
starting from 1.5 miles away, a car drives toward a speed checkpoint and then passes it. The car travels at a constant rate of 53 miles per hour. The distance of the car from the checkpoint is give by d=1.553t. At what time if the … 
Algebra 1
The table shows the number of miles driven over time. TimeDistance 4 184 6 276 8 368 10 460 Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctly interprets this … 
Math
The table shows the number of miles driven over time. Time (hours)Distance (miles) 4232 6348 8464 10580 Express the relationship between distance … 
Math
Hi I need a little help with a couple math questions I believe I have the answers, if someone can please just check them thank you. 1. The table shows the number of miles driven over time. Time 46810 Miles 204306408510 Express …