Jon and Melissa agree to meet in Chicago for the weekend. Jon travels 236 miles in the same time that Melissa travels 224 miles. If Jons rate of travel is 3 mph more than Melissas, and they travel the same length of time, at what speed does Jon travel?

d = rt

Jon

236 = (r+3)t
224 = rt

solve for t in each case

236/(r+3) = t
224/r = t

since times are the same set the two fractions = to each other

236/(r+3) = 224/r

cross multiply and solve for r.

thanks I think I finally figured it out

To determine Jon's speed of travel, let's first set up equations based on the given information. Let's assume that Melissa's speed is "x" mph.

According to the problem, Jon's speed of travel is 3 mph more than Melissa's. So, Jon's speed can be represented as "x + 3" mph.

Now, let's use the formula: speed = distance / time.

We know that Jon travels 236 miles and Melissa travels 224 miles in the same time. So, we can set up the following equations:

Jon's speed equation: (x + 3) = 236 / t, where "t" represents the time taken by both Jon and Melissa.

Melissa's speed equation: x = 224 / t.

Since both Jon and Melissa travel the same amount of time, we can set the time taken by Jon and Melissa equal to each other: t = t.

Now, we can solve these equations to find the value of Jon's speed.

Multiplying both sides of Jon's speed equation by "t" and simplifying, we get:
(x + 3) * t = 236.

Multiplying both sides of Melissa's speed equation by "t" and simplifying, we get:
x * t = 224.

Since t = t, we can rewrite the equation as:
(x + 3) * t = x * t.

Expanding the equation, we get:
xt + 3t = xt.

Subtracting "xt" from both sides of the equation, we have:
3t = 0.

Dividing both sides of the equation by 3, we find:
t = 0.

However, this result doesn't make sense since time cannot be zero. So, we made an error or there is no solution to this problem. Let's reevaluate the equations.

It appears that there may be an inconsistency in the given information. The equations we set up lead to a contradiction. Please double-check the problem statement or provide additional information for further assistance.