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Jennifer and Chelsea both leave the park at the same time, but in opposite directions. If Chelsea travels 9

mph faster than Jennifer and after 8 hours they are 184 miles apart, how fast is each traveling?

1 Answer

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Final answer:

Jennifer is traveling at 7 mph, while Chelsea is traveling at 16 mph, which is derived from their combined distance apart after 8 hours and the fact that Chelsea travels 9 mph faster than Jennifer.

Step-by-step explanation:

Jennifer and Chelsea both leave the park at the same time but in opposite directions. If Chelsea travels 9mph faster than Jennifer and after 8 hours they are 184 miles apart, we can use the formula distance = rate × time to find out how fast each is traveling. Let's define Jennifer's speed as j and Chelsea's speed as j + 9 mph.

Since they are traveling away from each other, their speeds add up. Their combined distance after 8 hours can be expressed as:

  1. (j mph × 8 hours) + ((j + 9 mph) × 8 hours) = 184 miles
  2. 8j + 8j + 72 = 184
  3. 16j + 72 = 184
  4. 16j = 112
  5. j = 7

This means Jennifer is traveling at 7 mph and Chelsea is traveling at 16 mph since 7 + 9 = 16. Through this process, we have determined the speeds of both Jennifer and Chelsea.

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