Question

Olivia family drove to Disney land For spring break. Her mom and dad shared the driving duties for a total of 14 hours. her mom drove 65 mph and her dad drove 60 mph if they drove a total of 895 miles how many hours did each person drive for

Answer 1

For this case we propose a system of equations:

x: Variable that represents the amount of hours that Olivia's mother drove

y: Variable that represents the amount of hours that Olivia's father drove

So, we have:

$x + y = 14\\65x + 60y = 895$

From the first equation we have:

$x = 14-y$

Substituting in the second equation:

$65 (14-y) + 60y = 895\\910-65y + 60y = 895\\-5y = 895-910\\-5y = -15\\y = \frac {15} {5}\\y = 3$

Thus, Olivia's father drove 3 hours.

$x = 14-3 = 11$

Olivia's mother drove 11 hours.

Answer:

$(x, y) :( 11,3)$