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A cyclist travels at 12 miles per hour. ...

A cyclist travels at 12 miles per hour. How many minutes will it take him to travel 24 miles

A

`1`

B

`120`

C

`30`

D

`60`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will follow the logical flow of calculations based on the information provided. ### Step 1: Understand the given information We know that: - The speed of the cyclist is 12 miles per hour. - The distance to be traveled is 24 miles. ### Step 2: Use the formula for time The formula to calculate time when speed and distance are known is: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] ### Step 3: Substitute the values into the formula Substituting the known values into the formula: \[ \text{Time} = \frac{24 \text{ miles}}{12 \text{ miles per hour}} \] ### Step 4: Calculate the time in hours Now, perform the division: \[ \text{Time} = \frac{24}{12} = 2 \text{ hours} \] ### Step 5: Convert hours to minutes Since we need the time in minutes, we convert hours to minutes. We know that: \[ 1 \text{ hour} = 60 \text{ minutes} \] Thus, \[ 2 \text{ hours} = 2 \times 60 = 120 \text{ minutes} \] ### Final Answer The cyclist will take **120 minutes** to travel 24 miles at a speed of 12 miles per hour.
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