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Chad and Arturo both leave the park at the same time, but in opposite directions. If Chad travels 13 mph and Arturo travels 19 mph, how long until they are 96 miles apart?

a. 4 hours
b. 5 hours
c. 6 hours
d. 7 hours

1 Answer

3 votes

Final answer:

Chad and Arturo will be 96 miles apart in 3 hours based on their combined speed of 32 mph (13 mph for Chad and 19 mph for Arturo), which is not listed in the provided options.

Step-by-step explanation:

To determine how long it will take for Chad and Arturo to be 96 miles apart, we need to consider their combined rate of moving apart. Chad is traveling at 13 mph, and Arturo is traveling at 19 mph. To find their combined speed, add these two speeds together.

13 mph (Chad) + 19 mph (Arturo) = 32 mph (combined speed)

Now, we use the formula distance = rate x time to solve for time (how long).

Time (how long) = Distance / Rate = 96 miles / 32 mph

By dividing the distance they need to be apart by their combined rate, we can find the time:

Time (how long) = 96 miles / 32 mph = 3 hours

It will take 3 hours for Chad and Arturo to be 96 miles apart. However, this option is not listed in the multiple-choice answers, indicating there may have been an oversight or misunderstanding. We would need to contact the instructor or check the question for any errors.

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