Math  /  Numbers & Operations

QuestionA car is traveling at a rate of 39 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round your answers. \square

Studdy Solution

STEP 1

1. The car's speed is given as 39 39 miles per hour.
2. We need to convert this speed to miles per minute.
3. We need to calculate the distance traveled in 15 15 minutes.

STEP 2

1. Convert the speed from miles per hour to miles per minute.
2. Calculate the distance traveled in 15 minutes.

STEP 3

To convert the speed from miles per hour to miles per minute, use the conversion factor that 1 1 hour is 60 60 minutes.

STEP 4

Divide the speed in miles per hour by 60 60 to find the speed in miles per minute.
39 miles per hour60 minutes per hour=3960 miles per minute \frac{39 \text{ miles per hour}}{60 \text{ minutes per hour}} = \frac{39}{60} \text{ miles per minute}

STEP 5

To find the distance traveled in 15 15 minutes, multiply the speed in miles per minute by 15 15 .
(3960 miles per minute)×15 minutes \left(\frac{39}{60} \text{ miles per minute}\right) \times 15 \text{ minutes}

STEP 6

Calculate the distance:
(3960)×15=39×1560=58560=394 \left(\frac{39}{60}\right) \times 15 = \frac{39 \times 15}{60} = \frac{585}{60} = \frac{39}{4}
The car's rate in miles per minute is:
3960 miles per minute \frac{39}{60} \text{ miles per minute}
The distance the car will travel in 15 minutes is:
394 miles \frac{39}{4} \text{ miles}

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