The wheels on Jay's bike each have a 20 inch diameter. His sister's mountain bike has wheels that each have a 26 inch diameter. To the nearest inch, how much farther does Jay's sister's bike travel in one revolution than Jay's bike?

Find the circumference of each wheel

Take the difference between those two results.

19

To find out how much farther Jay's sister's bike travels in one revolution than Jay's bike, we need to compare the circumferences of their wheels.

The circumference of a circle can be calculated using the formula:

Circumference = π * diameter

Let's calculate the circumference of Jay's wheel first:

Circumference of Jay's wheel = π * 20 inches

Circumference of Jay's wheel ≈ 3.14 * 20 inches
≈ 62.8 inches

Now let's calculate the circumference of Jay's sister's wheel:

Circumference of Jay's sister's wheel = π * 26 inches

Circumference of Jay's sister's wheel ≈ 3.14 * 26 inches
≈ 81.64 inches

Jay's sister's bike travels approximately 81.64 - 62.8 = 18.84 inches farther in one revolution than Jay's bike.

To the nearest inch, Jay's sister's bike travels 19 inches farther in one revolution than Jay's bike.

To find out how much farther Jay's sister's bike travels in one revolution compared to Jay's bike, we need to compare the circumference of their wheels.

The formula for the circumference of a circle is:
C = π * d

where C is the circumference and d is the diameter.

For Jay's bike, the diameter of each wheel is 20 inches, so the circumference is:
C_jay = π * 20 inches

For Jay's sister's bike, the diameter of each wheel is 26 inches, so the circumference is:
C_sister = π * 26 inches

To find the difference between the two circumferences, we can subtract C_jay from C_sister:
Difference = C_sister - C_jay

Let's calculate the values and find the answer:

For Jay's bike:
C_jay = π * 20 inches
C_jay ≈ 3.14 * 20 inches
C_jay ≈ 62.8 inches (rounded to the nearest tenth of an inch)

For Jay's sister's bike:
C_sister = π * 26 inches
C_sister ≈ 3.14 * 26 inches
C_sister ≈ 81.6 inches (rounded to the nearest tenth of an inch)

Now let's find the difference:
Difference = C_sister - C_jay
Difference ≈ 81.6 inches - 62.8 inches
Difference ≈ 18.8 inches (rounded to the nearest tenth of an inch)

Therefore, to the nearest inch, Jay's sister's bike travels about 19 inches farther in one revolution compared to Jay's bike.