Question

Amirah's family is driving to her uncle's house. The family travels 383.5 miles between 10:15 am and 4:45 pm. Calculate the family's average rate of travel for the day. Write your answer as decimal rounded to the nearest tenth.

Answer 1

The family's average rate of travel for the day was 59.0 MPH.

Explanation:

From 10:15AM to 4:45PM, they travelled a distance of 383.5 miles and a total of 6 hours and 30 minutes.

There are 60 minutes in an hour. 30 minutes translates into 1/2 an hour or .5

So, 6.5 hours and a total distance of 383.5 miles.

Velocity (MPH) = Distance (in miles) / Time (in hours)

MPH means Miles Per Hour

Variables:

Velocity (MPH) = x

Distance (in miles) = 383.5

Time (in hours) = 6.5

Plug in the variables into the formula

x = 383.5 / 6.5

Divide

x = 59.0 MPH

Answer 2

59 miles/hr

Explanation:

To solve this, lets make the time in 24 hours format:

10:15 am = 10 hours and 15 minutes

4:45 pm = 16 hours and 45 minutes

so time taken = ( 16 hours and 45 minutes ) - ( 10 hours and 15 minutes )

= 6 hours 30 minutes

= [6 + (30/60)] hours

= 6.5 hours taken for the journey to complete

Average rate of travel = Total distance / time taken

= 383.5 / 6.5

= 59 miles/hr