Question

You are going on a field trip in a school bus. A special detector placed on one of the bus's tires counts the number of rotations completed by the tire during the journey. The tire's diameter is 111 meter, and it made 800080008000 rotations during the trip.
How far did the bus travel?

Answer 1

Question (Corrected):

You are going on a field trip in a school bus. A special detector placed on one of the bus's tires counts the number of rotations completed by the tire during the journey. The tire's diameter is 1 meter, and it made 8000 rotations during the trip. How far did the bus travel?

Given:

The diameter of the tire = 1 m

Number of rotations made = 8000

To Find:

The distance that the bus has traveled

Solution:

Find the circumference of the tire:

Circumference = πD

Circumference = 3.142 x 1

Circumference = 3.142 m

Find the distance traveled:

1 rotation = 3.142m

8000 rotations = 3.142 x 8000

8000 rotations = 25136 m

8000 rotations = 25.136 km

Answer: The bus has traveled approximately 25.136 km.

Answer 2

Answer:

The total distance traveled during the trip is 25{,}12025,12025, comma, 120 meters.

Step-by-step explanation:

Each time the bus tire rolls forward through one rotation, the bus moves forward a distance equal to the circumference of the tire.

The distance the bus travels depends on the number of rotations and the circumference of the tire.

We can use the formula C = πd to find the circumference of the tire.

C = πd

  = π (1)

  = π

The circumference of the tire is π m.

Since the bus tire made 8000 rotations during the trip, the total distance traveled is 8000 times the circumference of the tire:

8000 x π = 8000π

8000π ≈ 8000×3.14

≈25,120

​The total distance traveled during the trip is 25,120 meters.

Also, the answer explanation is from Khan Academy

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