Question

How bad is the heavy traffic? You can walk 14

miles in the same time that it takes to travel
35 miles by car. If the car's rate is 6 miles per
hour laster than your walking rate find the
average rate of each.

Answer 1

To find the average rate of each, set up a proportion using the given information. Solve for x to find the walking rate and calculate the car's rate by adding 6 to x. The average rate of walking is 2 miles per hour, and the average rate of the car is 8 miles per hour.

Step-by-step explanation:

To find the average rate of each, we can set up a proportion using the given information. Let's say your walking rate is x miles per hour.

According to the question, you can walk 14 miles in the same time it takes to travel 35 miles by car. So, the equation would be:

14 / x = 35 / (x+6)

Cross multiplying and simplifying, we get:

14(x+6) = 35x

Solving for x, we find that your walking rate is 2 miles per hour. Therefore, the car's rate would be 8 miles per hour.

So, the average rate of walking is 2 miles per hour, and the average rate of the car is 8 miles per hour.

Answer 2

I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.

Step-by-step explanation:

Since I can walk 14 miles in the same time that it takes to travel 35 miles by car, if the car's rate is 6 miles per hour faster than my walking rate, to find the average rate of each the following calculation must be performed:

35 - 14 = 21

21/6 = 3.5

35 / 3.5 = 10

14 / 3.5 = 4

So, I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.