Question

Sierra wants to train for a marathon. Right now she can run 4 miles. She plans to add half a mile each week. How many weeks until Sierra could run half a marathon (13. 1 miles)?

Answer 1

Sierra must train for 19 weeks, increasing her running distance by half a mile each week, to be able to run a half marathon.

Step-by-step explanation:

Sierra plans to increase her running distance by half a mile each week, starting from being able to run 4 miles. To reach the half marathon distance of 13.1 miles, we need to determine how many weeks it will take her by calculating the incremental increase week by week.

Step-by-Step Solution:

1. Determine the total distance she needs to cover: 13.1 miles - 4 miles (current ability) = 9.1 miles.
2. Determine the weekly increase: 0.5 miles per week.
3. Calculate the number of weeks: 9.1 miles ÷ 0.5 miles/week = 18.2 weeks.

Since Sierra cannot train for a fraction of a week, we'll round up, meaning that it will take her 19 weeks to be able to run a half marathon.

Answer 2

18.2 weeks

Step-by-step explanation:

To determine how many weeks Sierra will need to train until she can run half a marathon (13.1 miles), we can use the following equation:

Weeks = (13.1 miles - 4 miles) / (miles per week)

We know that Sierra plans to add half a mile each week, so we can substitute 0.5 for (miles per week) in the equation above to get:

Weeks = (13.1 miles - 4 miles) / 0.5 miles per week

= 9.1 miles / 0.5 miles per week

= 18.2 weeks

Since Sierra plans to add half a mile each week, she will need to train for approximately 18.2 weeks to be able to run half a marathon (13.1 miles).