Math Problem Statement

a bus takes 1hour and 30 mins to travel 48 miles calculate the average speed

Solution

To calculate the average speed, you can use the formula:

Average Speed=Total DistanceTotal Time\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}

Given:

  • Total Distance = 48 miles
  • Total Time = 1 hour 30 minutes = 1.5 hours

Now, plug these values into the formula:

Average Speed=48 miles1.5 hours=32 miles per hour (mph)\text{Average Speed} = \frac{48 \text{ miles}}{1.5 \text{ hours}} = 32 \text{ miles per hour (mph)}

So, the average speed of the bus is 32 miles per hour.

Would you like more details on how this formula works or have any further questions?

Here are 5 related questions:

  1. How do you convert minutes into hours?
  2. What is the difference between speed and velocity?
  3. How do you calculate the time it takes to travel a certain distance if the speed is known?
  4. How does average speed differ from instantaneous speed?
  5. How can you calculate the distance traveled if you know the speed and time?

Tip: Always ensure that the time units are consistent with the units of speed (miles per hour or km per hour) before performing any calculation.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Speed, Distance, and Time Relationships

Formulas

Average Speed = Total Distance ÷ Total Time

Theorems

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Suitable Grade Level

Grades 6-8