Question

If the circumference of each tire on a vehicle is approximately 88​ in., how many miles will the vehicle travel when the tires make
23
23​,000 ​revolutions?

Answer 1

Answer:

31.94 miles

Step-by-step explanation:

we know that

The circumference of a tire represents the distance traveled by the vehicle in one revolution

so

by proportion

Find out the distance traveled by the vehicle in 23,000 revolutions

$\frac{88}{1}\ \frac{in}{rev}=\frac{x}{23,000}\ \frac{in}{rev}\\\\x=88(23,000)\\\\x=2,024,000\ in$

Convert inches to miles

Remember that

$1\ mile=63,360\ inches$

To convert inches to miles divided by 63,360

therefore

$2,024,000\ in=2,024,000/63,360=31.94\ miles$