Question

Question: Noelle has set a goal to run more than 50 miles this month. So far, she has run 10 miles. Her average running speed is 5 miles per hour. Let h represent the number of hours Noelle runs for the rest of the month.

Noelle has set a goal to run more than 50 miles this month. So far, she has run 10 miles. Her average running speed is 5 miles per hour. Let h represent the number of hours Noelle runs for the rest of the month.

Answer 1

Noelle needs to run for more than 8 hours to reach her goal of running more than 50 miles this month.

Step-by-step explanation:

To find out how long Noelle will run for the rest of the month, we need to determine how many miles she has left to run in order to reach her goal. She has already run 10 miles, so she needs to run more than 50 - 10 = 40 miles. We know that her average running speed is 5 miles per hour, so we can set up the equation: h * 5 > 40, where h represents the number of hours she will run for the rest of the month.

To solve this inequality, we divide both sides of the equation by 5 to isolate h: h > 40 / 5, which simplifies to h > 8. Therefore, Noelle needs to run for more than 8 hours to reach her goal of running more than 50 miles this month.