Question

lola and harper are both cross-country skiing on the bighorn mountain trail. each person skis at a constant rate. lola can ski 13 miles in 2 hours. this equation describes the number of miles y harper can ski in x hours y=6.35x who skis faster? a. lola b. harper how far can that person ski in 3 hours? ____________ miles

Answer 1

To determine who skis faster, we first need to calculate the rates for both Lola and Harper.

**Lola's Speed:**

Lola can ski 13 miles in 2 hours. To find her speed in miles per hour, we can use the formula:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

So for Lola:

\[
\text{Speed}_{Lola} = \frac{13 \text{ miles}}{2 \text{ hours}} = 6.5 \text{ miles per hour}
\]

**Harper's Speed:**

The equation given for Harper's distance is \( y = 6.35x \), where \( y \) is the distance in miles and \( x \) is the time in hours. This indicates that Harper skis at a constant speed.

Thus, Harper's speed is 6.35 miles per hour.

**Comparison:**

Now we compare their speeds:

- **Lola's speed:** 6.5 miles per hour
- **Harper's speed:** 6.35 miles per hour

Since 6.5 miles per hour > 6.35 miles per hour, **Lola skis faster**.

**How far can Lola ski in 3 hours?**

Using Lola's speed:

\[
\text{Distance} = \text{Speed} \times \text{Time}
\]

\[
\text{Distance}_{Lola} = 6.5 \text{ miles per hour} \times 3 \text{ hours} = 19.5 \text{ miles}
\]

Thus, the answer is:

**a. Lola**

**How far can that person ski in 3 hours? 19.5 miles**