Question

Olivia's family drove to Disneyland for spring break. Her mom and dad shared driving duties for a total of 14 hours. Her mom drove 65 miles per hour and her dad drove 60 miles per hour. They drove a total of 895 miles. How many hours did each person drive.

Answer 1

Answer: Dad = 3 hours

Mom = 11 hours

Explanation:

Let the number of hours driven by her mum be m.

Let the number of hours driven by her dad be d.

We can form equation from the question as:

d + m = 14 ........... i

60d + 65m = 895.......... ii

Since d + m = 14, d = 14 - m

Substitute 14 - m into d in equation ii

60d + 65m = 895

60(14 - m) + 65m = 895

840 - 60m + 65m = 895

840 + 5m = 895

5m = 895 - 840

5m = 55

m = 11

The mother drove for 11 hours

Since d + m = 14

d + 11 = 14

d = 14 - 11

d = 3

The father drive for 3 hours