Question

Ryan and Jess went for an 8-mile run. It took Ryan 25 minutes to get to the 3 mile mark. If Jess reached the same point but 7 minutes later than Ryan did, how long did it take her to complete the 8 miles if she maintained a constant speed?

Answer 1

Answer: It took Jess approximately 66.67 minutes to complete the 8 miles if she maintained a constant speed.

Explanation:

To solve this problem, we can use the concept of rates and proportions. We know that Ryan ran 3 miles in 25 minutes, so his rate can be calculated as 3 miles divided by 25 minutes, which is 0.12 miles per minute.

Since Jess reached the same point as Ryan but 7 minutes later, we can subtract 7 minutes from the time it took Ryan to reach the 3-mile mark. Therefore, Jess reached the 3-mile mark in 25 minutes - 7 minutes = 18 minutes.

Now, we can find Jess's rate by dividing the distance (3 miles) by the time (18 minutes): 3 miles divided by 18 minutes, which is 0.1667 miles per minute.

To determine how long it took Jess to complete the entire 8 miles, we can set up a proportion based on the rates of Ryan and Jess:

Ryan's rate: 0.12 miles per minute

Jess's rate: 0.1667 miles per minute

Let's denote the time it took Jess to complete the 8 miles as "x" minutes.

The proportion can be set up as:

0.12 miles/minute = 8 miles/x minutes

Cross-multiplying, we get:

0.12x = 8 * 1

0.12x = 8

x = 8 / 0.12

x ≈ 66.67 minutes

Answer 2

Well since Ryan took 25 min, and Jess took 7 min longer, she would’ve taken 32 min. So, since she took 32 minutes for 3 miles, then we need to multiply 32x60 (for seconds) we will get 1,920 seconds. So then, we will divide that by 3. Which gives us 640 seconds her minute. So we multiply 640 times 8. That gives us 5120. So then we divide that be 60 to put it back to minutes.


That is 85 minutes and 20 seconds or 1 hour, 25 minutes, and 20 seconds