Question

Postman Pete has a pedometer to count his steps. The pedometer records up to $99999$ steps, then flips over to $00000$ on the next step. Pete plans to determine his mileage for a year. On January $1$ Pete sets the pedometer to $00000.$ During the year, the pedometer flips from $99999$ to $00000$ forty-four times. On December $31$ the pedometer reads $50000.$ Pete takes $1800$ steps per mile. Which of the following is closest to the number of miles Pete walked during the year?

$2500$

$3000$

$3500$

$4000$

$4500$

Answer: A

Concepts:place value unit conversion estimation

Difficulty rating: 1070

Solution:

Each flip counts $100000$ steps, so Pete took $44\cdot 100000+50000=4{,}450{,}000$ steps.

Dividing by $1800$ gives about $2472$ miles, which is closest to $2500.$

Thus, the correct answer is A.

2008 AMC 10B Problem 12

Answer: A

Difficulty rating: 1070

Solution:

Problem 12 in Other Years