Question

Matthew and Juan are 12 miles apart on a path when they start moving toward each other. Matthew runs at a constant speed of 5 miles per hour, and Juan walks at a constant speed of 3 miles per hour. How long does it take until Matthew and Juan meet?

Answer 1

Matthew and Juan will meet after 1.5 hours.

Step-by-step explanation:

First, let's determine the combined speed at which they approach each other.

Matthew runs at a speed of 5 miles per hour and Juan walks at a speed of 3 miles per hour.

To determine their combined speed, we add their individual speeds together:

Combined speed = 5 mph + 3 mph

= 8 mph

Now, we can use the formula:

Time = Distance / Speed

To find the time it takes for Matthew and Juan to meet.

Since they are 12 miles apart, we can divide this distance by their combined speed:

Time = 12 miles / 8 mph

= 1.5 hours

Therefore, Matthew and Juan will meet after 1.5 hours.