Question

Jeremy rides his bike at a rate of 15 miles per hour. Below is a table that represents the number of hours and miles Kevin rides. Assume both bikers ride at a constant rate. Which biker rides at a greater speed? Include all of your calculations in your final answer.

Time in hours (
) Distance in miles (
)
1.5 17.25
2 23
3.5 40.25
4 46

WRITER

Answer 1

First find Kevin’s constant rate from the table (rate = distance ÷ time):

- 17.25 ÷ 1.5 = 11.5 miles per hour
- 23 ÷ 2 = 11.5 miles per hour
- 40.25 ÷ 3.5 = 11.5 miles per hour
- 46 ÷ 4 = 11.5 miles per hour

Kevin rides at 11.5 mph. Jeremy rides at 15 mph. Therefore Jeremy rides faster.

Difference: 15 − 11.5 = 3.5 mph, so Jeremy is 3.5 mph faster than Kevin.