Question

Selena rides her bicycle to work. It takes her 15 minutes to go 3 miles. If she continues at the same rate, how long will it take her to go 8 miles? How many feet will she travel in 3 minutes?

a) 32 minutes, 1,920 feet
b) 45 minutes, 2,700 feet
c) 20 minutes, 1,200 feet
d) 60 minutes, 3,600 feet

Answer 1

If Selena continues at the same rate, it will take her 32 minutes to go 8 miles, and she will travel 1,920 feet in 3 minutes (Option a).

Step-by-step explanation:

Given that Selena rides her bicycle at a constant rate, we can determine the time it takes her to cover a certain distance by using the formula:
`\(\text{Time} = \frac{\text{Distance}}{\text{Speed}}\)`. In this case, she covers 3 miles in 15 minutes, so her speed is
`\( (3)/(15) = (1)/(5) \)` miles per minute. To find the time it takes her to go 8 miles, we use the formula
`\( \text{Time} = \frac{\text{Distance}}{\text{Speed}} \)`, which results in
`\( (8)/((1)/(5)) = 40 \)` minutes. Therefore, if she continues at the same rate, it will take her 40 minutes to go 8 miles.

To find how many feet Selena will travel in 3 minutes, we need to convert the speed to feet per minute. Since 1 mile is equivalent to 5,280 feet, her speed is
`\( (1)/(5) * 5,280 = 1,056 \)` feet per minute. In 3 minutes, she will cover
`\( 3 * 1,056 = 3,168 \)` feet. Therefore, the correct answer is that she will travel 3,168 feet in 3 minutes.

Understanding and applying basic formulas for distance, speed, and time are fundamental in solving problems related to motion. In this scenario, these principles help us determine the time it takes for Selena to cover a given distance and calculate the distance covered in a specific time interval.