Mathematics Middle School

Domingo and Bethany drove along the same highway, in opposite directions. Domingo left at 1 p.m., traveling westbound at 55 mph. Bethany left at the same time, traveling eastbound at 60 mph. Domingo and Bethany were 575 miles apart when they started driving. At what time did they pass each other?

Answers

Answer 1

Step-by-step explanation:

Let's first figure out how far each of them traveled before they meet. Let TIME be the time in hours since they began traveling.

Domingo traveled a distance of 55 * TIME miles

Bethany traveled a distance of 60 * TIME miles

We know that their total distance is 575 miles. So we can write the equation:

55 * TIME + 60 * TIME = 575

Simplifying this equation, we get:

115 * TIME = 575

Dividing both sides by 115, we get:

TIME = 5

So they meet 5 hours after they began traveling. Since Domingo left at 1 p.m., he will meet Bethany at 6 p.m.

Answer 2

They will pass each other at 6 pm.

Given,

Domingo and Bethany drove along the same highway but in opposite direction.

Let's first figure out how far each of them traveled before they meet.

Let x be the time in hours since they began traveling.

Domingo traveled a distance of 55 * x miles

Bethany traveled a distance of 60 * x miles

We know that their total distance is 575 miles. So we can write the equation as,

55 * x + 60 * x = 575

Further simplifying this equation, we get:

115 * x = 575

x = 5

So they meet 5 hours after they began traveling.

Since Domingo left at 1 p.m., he will meet Bethany at 6 p.m.

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