Jean jogged for 2 miles and then walked for 3 miles. Took her 1 1/3 hours. If she jogged twice as fast as she walked, what was her walking rate?

x = walking rate

Time = Distance/Rate

4/3 = 2/2x + 3/x

Multiply both sides by x

4/3x = 1 + 3

You can take it from there.

3.33

To solve this problem, let's start by defining the variables and translating the given information into equations:

Let's assume Jean's walking rate is "w" miles per hour.
Since Jean jogs twice as fast as she walks, her jogging rate would be "2w" miles per hour.

Given that she jogged for 2 miles and walked for 3 miles, we can set up the following equation using the formula: time = distance / rate:

Time it took her to jog = 2 miles / (2w miles per hour) = 1 hour.
Time it took her to walk = 3 miles / (w miles per hour) = 3 hours.

According to the information provided, the total time she took for jogging and walking was 1 1/3 hours, which is equivalent to 4/3 hours.

So, the equation for the total time becomes: 1 hour + 3 hours = 4/3 hours.

Combining the equations and solving for "w":

1 + 3 = 4/3
4 = 4/3
Cross-multiplying, we get:
4 * 3 = 4, which is true.

Hence, the walking rate "w" is 3 miles per hour.