Question

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?

Answer 1

Mom drove for 18 hours.

Dad drove for 6 hours.

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 =
`x` hours

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

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

`Distance = Speed * Time`

Distance traveled by Mom =
`75 * x =75x \ miles`

Distance traveled by dad =
`60(24-x) =144-60x` miles

As per question statement:

`75x+1440-60x=1710\\\Rightarrow 15x=1710-1440\\\Rightarrow 15x = 270\\\Rightarrow x = 18\ hours`

So, Mom drove for 18 hours.

Dad drove for 6 hours.