amy drove her car the same distance in six hours that juan drove his car in 5 1/2 hours. find the speed (rate) of amy's car, given that she drove 5 mi/h slower than juan.
let Juan's speed be x mph
then Amy's speed is (x-5) mph
then 6(x-5) = 5.5x
solve for x, sub it back into x-5
(I got 55 mph for Amy)
To find the speed of Amy's car, we can start by finding Juan's speed. Let's say Juan's speed is represented by "x" miles per hour.
Since Amy drove 5 mi/h slower than Juan, her speed can be represented as "x - 5" miles per hour.
Now, let's use the formula: Speed = Distance / Time to calculate their speeds.
Juan's speed can be calculated using the information given: Distance = Juan's distance and Time = Juan's time.
Amy's speed can also be calculated using the same formula: Distance = Amy's distance and Time = Amy's time.
Since Amy and Juan drove the same distance, we can set up an equation:
Juan's speed = Amy's speed
Using the formula, the equation becomes:
x = (x - 5)
Let's solve this equation to find Juan's speed (x):
x = x - 5
5 = 0
This equation has no solutions. It seems there might be an error in the problem statement.
Please double-check the given information or provide additional details to further assist you in finding the solution.