You travel again in your trusty car with the 25 inch wheels. You installed a nifty gadget that measures how often your wheels turn each hour. It shows that right now they turn 41000 times per hour. You figure you are going at a speed of______miles per hour.

We have been given that you travel again in your trusty car with the 25 inch wheels. The nifty gadget shows that right now they turn 41000 times per hour.

The distance covered by wheel in one turn would be equal to circumference of circle with diameter of 25 inches.

[tex]\text{Circumference}=\pi D[/tex]

[tex]\text{Circumference}=\pi \text{25 inches}[/tex]

[tex]\text{Circumference}=25\pi \text{ inches}[/tex]

Distance covered by wheel in 41,000 turns would be 41,000 times [tex]25\pi \text{ inches}[/tex]:

[tex]41,000\times 25\pi \text{ inches}=1025000\pi \text{ inches}=3220132.4699\text{ inches}[/tex]

We know that 1 miles is equal to 63360 inches.

To convert 3220132.4699 inches to miles we will divide 3220132.4699 by 63360 as:

[tex]\frac{3220132.4699}{63360}=50.82279\text{ miles}\approx 50.8\text{ miles}[/tex]

Therefore, you are travelling at a speed of approximately 50.8 miles per hour.