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A bus travels 36 miles in 45 minutes. Enter the number of miles the bus travels in 60 minutes at this rate.

A bus travels 3636 miles in 4545 minutes.\newlineEnter the number of miles the bus travels in 6060 minutes at this rate.

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Full solution

Q. A bus travels 3636 miles in 4545 minutes.\newlineEnter the number of miles the bus travels in 6060 minutes at this rate.
  1. Identify Distance and Time: Identify the distance traveled and the time taken to find the speed.\newlineThe bus travels 3636 miles in 4545 minutes.
  2. Convert Time to Hours: Convert the time from minutes to hours to find the speed in miles per hour. 4545 minutes is 4560\frac{45}{60} hours, which is 0.750.75 hours.
  3. Calculate Speed: Calculate the speed using the formula speed=distancetime\text{speed} = \frac{\text{distance}}{\text{time}}.Speed=36 miles0.75 hours\text{Speed} = \frac{36 \, \text{miles}}{0.75 \, \text{hours}}.
  4. Perform Division: Perform the division to find the speed.\newlineSpeed = 360.75=48\frac{36}{0.75} = 48 miles per hour.
  5. Calculate Distance in 11 Hour: Now, calculate the distance the bus would travel in 6060 minutes (11 hour) at this speed.Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}Distance=48 miles per hour×1 hour\text{Distance} = 48 \text{ miles per hour} \times 1 \text{ hour}
  6. Perform Multiplication: Perform the multiplication to find the distance.\newlineDistance = 48×1=4848 \times 1 = 48 miles.

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