When Cara drives to work, it takes her 30 minutes to drive 15 miles. On her days off, she likes to drive to her favorite donut shop. It takes Cara 6 minutes to drive to The Dreamy Donut Shop at the same rate.

How many miles away is The Dreamy Donut Shop?

1 answer

To determine how many miles away The Dreamy Donut Shop is, we first need to find Cara's driving speed.

From the information provided:

  • It takes Cara 30 minutes to drive 15 miles.

To find her speed in miles per minute, we divide the distance by the time: \[ \text{Speed} = \frac{15 \text{ miles}}{30 \text{ minutes}} = 0.5 \text{ miles per minute} \]

Next, we know it takes her 6 minutes to drive to The Dreamy Donut Shop. We can use her speed to find the distance to the donut shop: \[ \text{Distance} = \text{Speed} \times \text{Time} = 0.5 \text{ miles per minute} \times 6 \text{ minutes} \]

Calculating this gives: \[ \text{Distance} = 3 \text{ miles} \]

Therefore, The Dreamy Donut Shop is 3 miles away from her location.