In your set-up, for what does "x" stand? How did you arrive at your equation?

First, note that the total time spent travelling is seven hours, due to the one-hour lunch.

Using the standard equation

**"d = rt"**, we get:

. . .going:

. . . . .distance: 12

. . . . .rate: r

. . . . .time: 12/r

. . .returning:

. . . . .distance: 12

. . . . .rate: r - 1

. . . . .time: 12/(r - 1)

Add the two "time" expressions, set equal to the given total travel time, and

**solve the resulting rational equation**.

If you get stuck, please reply showing how far you have gotten. Thank you!