Question

Kim rode her bicycle 135 miles in 9 weeks riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?

A.) Eric rode 2 more miles per week than Kim rode

B.)Kim rode 3 more miles per week than Erick rode

C.) Kim rode 11 more miles per week than Erick rode

D.) Eric rode 17 more miles per week than Kim rode

Answer 1

The correct answer is @, because Kim rode15 miles per week, and Eric rode 17 per week

Answer 2

The answer is the option A

Eric rode
`2` more miles per week than Kim rode

Explanation:

Step 1

Find the number of miles that Kim rode per week

Divide the total miles by the total weeks

so

`(135)/(9)(miles)/(weeks)= 15(miles)/(week)`

Step 2

Find the number of miles that Eric rode per week

Divide the total miles by the total weeks

so

`(102)/(6)(miles)/(weeks)= 17(miles)/(week)`

Step 3

Compare the unit rates

Kim
`15(miles)/(week)`

Eric
`17(miles)/(week)`

`17(miles)/(week)-15(miles)/(week)=2(miles)/(week)`

so

Eric rode
`2` more miles per week than Kim rode