To find Imelda's average speed in miles per hour, we need to use the formula for average speed, which is:
[tex]\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \][/tex]
First, we need to convert the total time traveled into hours. Imelda drove for 2 hours and 30 minutes.
Since there are 60 minutes in an hour, we convert 30 minutes to hours as follows:
[tex]\[ 30 \, \text{minutes} = \frac{30}{60} \, \text{hours} = 0.5 \, \text{hours} \][/tex]
So, the total time in hours is:
[tex]\[ 2 \, \text{hours} + 0.5 \, \text{hours} = 2.5 \, \text{hours} \][/tex]
Next, we use the total distance driven, which is 170 miles.
Now we can calculate the average speed:
[tex]\[ \text{Average Speed} = \frac{170 \, \text{miles}}{2.5 \, \text{hours}} \][/tex]
Doing the division:
[tex]\[ \text{Average Speed} = 68 \, \text{miles per hour} \][/tex]
So, Imelda's average speed is:
[tex]\[ B. 68 \][/tex]
