A bus travels 36 miles in 45 minutes. Enter the number of miles the bus travels in 60 minutes at this rate.
The correct answer and explanation is:
To calculate the distance a bus travels in 60 minutes at the same rate it travels 36 miles in 45 minutes, follow these steps:
- Determine the bus’s speed: The bus covers 36 miles in 45 minutes. To find the speed, divide the distance by the time: Speed=36 miles45 minutes=0.8 miles per minute\text{Speed} = \frac{36 \, \text{miles}}{45 \, \text{minutes}} = 0.8 \, \text{miles per minute}
- Calculate the distance for 60 minutes: Since the speed of the bus is 0.8 miles per minute, the distance traveled in 60 minutes is: Distance=0.8 miles per minute×60 minutes=48 miles\text{Distance} = 0.8 \, \text{miles per minute} \times 60 \, \text{minutes} = 48 \, \text{miles}
Therefore, the bus would travel 48 miles in 60 minutes at the same rate.
Explanation:
To find the distance traveled in 60 minutes, we first determined the bus’s rate of travel by dividing the distance it traveled in 45 minutes by the 45-minute time span. This gave us the bus’s speed in miles per minute. After finding the rate, we multiplied it by 60 minutes (one hour) to calculate the total distance traveled. This method allows you to scale up the distance to match a different time frame, assuming the bus is moving at a constant speed.