Some vehicles fly down the highway, while others are dirt-track specialists. This activity allows you to explore the relationships between, distance, rate, and time. Can you identify the best path for a vehicle? Try to predict what will happen if you set on‑road or off‑road performance measures.
After adjusting your settings, click the GO button to start the race. The winning total elapsed time (in yellow) will flash.
Choose Random Mode, and select the ON‑Road < OFF‑Road Speed option. Change the ON‑Road Distance and OFF‑Road Distance for one of the cars so that your car beats the other car. Click GO. Did your car win?
If your car didn't win, try changing the distances until it does. What is the best path for a vehicle that is faster off‑road?
Change to Manual Mode, and set the speeds to the values below. For each set of speeds, what are the best on-road and off-road distances?
In general, what are the best distances if the on‑road speed is twice the off‑road speed?
What is the ratio of on‑road speed to off‑road speed when the best path requires driving half as far on‑road as off‑road?