Jessica can jog to work in of an hour. When she rides her bike, it takes her of an hour. If she rides miles per hour faster than she jogs, how far away is her work?

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Mary runs 5 kilometers in 0.5 hour and rides her bike 20 kilometers in 0.8 hour. At this rate, how many kilometers can she ride her bike in one hour

To find the distance to Jessica's work, we first need to determine her jogging speed and biking speed.

Let's assume that Jessica's jogging speed is "j" miles per hour. In this case, we know that she can jog to work in 1 hour, so the distance would be j miles.

Next, let's find her biking speed. We are given that it takes her 3/4 (or 0.75) of an hour to ride her bike to work. If her biking speed is "b" miles per hour, the distance would be b * 0.75 miles.

We also know that her biking speed is miles per hour faster than her jogging speed, which can be written as b = j + .

Now, we can set up an equation to solve for the value of . Since b = j + , we can substitute this into the equation for distance:

b * 0.75 = j

Substituting j + for b:

(j + ) * 0.75 = j

Multiplying 0.75 on the left side:

0.75j + * 0.75 = j

Distributing:

0.75j + 0.75 = j

Simplifying:

0.75 = 0.25j

Divide both sides by 0.25:

0.75 / 0.25 = j

3 = j

Now that we have found the jogging speed, we can substitute it back into the equation for distance to find the total distance to work:

Distance = j * 1
Distance = 3 * 1
Distance = 3 miles

Therefore, Jessica's work is 3 miles away.