Kaley's family drove to DisneyLand for spring break. Her mom and dad shared the driving duties for a total of 24 hours. Her mom drove 75 miles per hour, and her dad drove 60 miles per hour. If they drove a total of 1,710 miles, how many hours did each person drive for?

Mom drove for 18 hours.

Dad drove for 6 hours.

Step-by-step explanation:

Given that:

Number of hours for the driving duty = 24 hours

Speed at which the mom drove = 75 miles per hour

Speed at which the dad drove = 60 miles per hour

Total distance driven by both of them = 1710 miles

To find:

Number of hours for which each person drive for ?

Solution:

Let number of hours driven by dad = hours

Let number of hours driven by mom =  (24 - ) hours

Let us have a look at the formula for Distance in terms of Speed and Time.

Distance traveled by Mom =

Distance traveled by dad = miles

As per question statement:

So, Mom drove for 18 hours.

Dad drove for 6 hours.

1

step-by-step explanation:

it's the only multiple of both and the least