Question

Castel left the airport and drove toward his cabin on the lake at an average speed of 50 mph. Ashley left at the same time and drove in the opposite direction with an average speed of 60 mph. Find the number of hours Ashley needs to drive before they are 330 mi. apart.

Answer 1

Ashley needs to drive for 3 hours before they are 330 miles apart.

Step-by-step explanation:

To find the number of hours Ashley needs to drive before they are 330 miles apart, we can use the formula: Distance = Rate × Time. Since Ashley and Castel are driving in opposite directions, their distances are adding up and will eventually reach 330 miles when they are apart.

Let's assume Ashley needs to drive for 'x' hours before they are 330 miles apart. This means Castel would have driven for 'x' hours as well.

So, 50 mph × x hours + 60 mph × x hours = 330 miles.
Combining like terms: 110x = 330.
Dividing both sides by 110 to solve for 'x', we get x = 3.

Therefore, Ashley needs to drive for 3 hours before they are 330 miles apart.