Tasha started driving at 7:00 A.M. She kept a record of the total number of miles she had driven at certain times of the day. Her data is shown in the table.

Question

Time
Total Miles

Driven

7:00 A.M. 0
9:00 A.M. 100
10:30 A.M. 175
11:00 A.M. 205
12:00 P.M. 250

Question
During which time was Tasha's average driving speed the greatest?

Answer options with 4 options
A.
between 7:00 A.M. and 9:00 A.M.

B.
between 9:00 A.M. and 10:30 A.M.

C.
between 10:30 A.M. and 11:00 A.M.

D.
between 11:00 A.M. and 12:00 P.M.

Answer 1

To find the average driving speed, we need to calculate the average miles driven per hour for each time interval.

Between 7:00 A.M. and 9:00 A.M.:
Total miles driven = 100 miles
Time elapsed = 2 hours
Average speed = 100 miles / 2 hours = 50 miles per hour

Between 9:00 A.M. and 10:30 A.M.:
Total miles driven = 75 miles (175 - 100)
Time elapsed = 1.5 hours
Average speed = 75 miles / 1.5 hours = 50 miles per hour

Between 10:30 A.M. and 11:00 A.M.:
Total miles driven = 30 miles (205 - 175)
Time elapsed = 0.5 hours
Average speed = 30 miles / 0.5 hours = 60 miles per hour

Between 11:00 A.M. and 12:00 P.M.:
Total miles driven = 45 miles (250 - 205)
Time elapsed = 1 hour
Average speed = 45 miles / 1 hour = 45 miles per hour

Therefore, Tasha's average driving speed was the greatest between 10:30 A.M. and 11:00 A.M.
The correct answer is C. between 10:30 A.M. and 11:00 A.M.