Nicole 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?

NEED HELP FAST

You may need help fast, but you're not going to get it because you forgot to post some vital information.

What part of an hour does it take her to jog to work?

And so on --

reread your post, not enough info is given and it doesn't make sense.

copy the problem exactly from your book.

To find the distance to Nicole's work, we can start by determining her jogging and biking speeds.

Let's assume Nicole's jogging speed is "J" miles per hour. Since she can jog to work in 1/3 of an hour, or 1/3 * 60 minutes = 20 minutes, we can set up the following equation:

Distance = Speed * Time
Distance = J * 20/60
Distance = J/3

Next, let's determine her biking speed. Since biking takes her 1/6 of an hour, or 1/6 * 60 minutes = 10 minutes, we have:

Distance = Speed * Time
Distance = (J + X) * 10/60
Distance = (J + X)/6

Where X represents the extra speed Nicole rides her bike.

Given that her bike speed is X miles per hour faster than her jogging speed, we can set up another equation:

X = J + X - J
X = X

From this, we can conclude that X can be any positive value.

Finally, to find the distance to Nicole's work, we can set up an equation using the two previously determined distances:

J/3 = (J + X)/6

Simplifying this equation, we get:

2J = J + X

Now, we can solve for J:

J = X

To determine the distance to Nicole's work, we substitute J in the distance equation:

Distance = J/3
Distance = X/3

So, the distance to Nicole's work is X/3 miles. Since we don't have a specific value for X, we can't determine the exact distance.