Math Problem x1

Question

Jacob and Andy both leave the park at the same time, but in opposite directions. If Andy travels 5 mph faster than Jacob and after 8 hours they are 248 miles apart, how fast is each traveling?

Answer 1

Let's Jacob's speed as x (miles per hour). This means that Andy's speed is x + 5 miles per hour.

Now, let's figure out how far each one traveled in 8 hours:

Jacob = 8 hours * x mph = 8x miles

Andy = 8 hours * x + 5 mph = 8(x + 5) miles

We know that those two distances must add up to 248. So we can write an equation to solve:

8x + 8(x + 5) = 248

Solving for x (which is Jacob's speed), we get:

Distribute the second term: 8x + 8x + 40 = 248

Combine like terms: 16x + 40 = 248

Subtract 40 from each side: 16x = 208

Divide both sides by 16: x = 13 mph

So, Jacob was traveling x = 13 mph, and Andy was traveling x + 5 = 18 mph.

Answer 2

8r + 8(r + 5) = 248

Can you solve for r and answer?