Question

Ray and Alice are supposed to meet in Dallas and then drive to Branson together. Normally, it would be a fun trip, but the two of them don't exactly get along. At present, they are 558 miles apart and headed straight toward each other.

Ray is driving at a mere 30 mph and Alice is going a whopping 32 mph. If both of them keep heading toward Dallas (a big if), and neither one gets pulled over for driving too slowly, how many hours will it be before they meet?

Answer 1

Answer: Since Ray and Alice are headed towards each other, the distance between them will be decreasing at a rate equal to the sum of their speeds. We can use the formula:

time = distance / speed

Let's call the time it takes for Ray and Alice to meet "t". We know that the distance between them is 558 miles, and the sum of their speeds is:

30 mph + 32 mph = 62 mph

So, using the formula above, we can solve for "t":

t = 558 miles / 62 mph

t = 9 hours

Therefore, it will take 9 hours for Ray and Alice to meet if they both keep heading toward Dallas at their respective speeds.

Explanation: