Sara's mom takes the parkway to work. It takes her 30 minutes to travel from mile marker 88 where she enters to her exit at mile marker 121.

Question

What is her average speed?

Responses

4.0 mph

4.0 mph

16.5 mph

16.5 mph

33 mph

33 mph

66 mph

Answer 1

To find the average speed, we can use the formula:

\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \]

1. Calculate the total distance:

   • The distance traveled is the difference between the exit and entry mile markers:
   • Total Distance = 121 - 88 = 33 miles

2. Total time:

   • It takes 30 minutes which we need to convert to hours because we want the speed in miles per hour (mph):
   • Total Time = 30 minutes = \(\frac{30}{60} = 0.5\) hours

3. Now, calculate the average speed: \[ \text{Average Speed} = \frac{33 \text{ miles}}{0.5 \text{ hours}} = 66 \text{ mph} \]

So, the average speed is 66 mph.