two families that live 270 mi apart plan to meet at a park located between their two homes.both leave at 9:00 am but one family averages 12 mph faster than the other family.
if the families meet at the designated spot 2 and half hours later, determine the average rate of speed for each family

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Answer:

Family 1 average rate of speed was 66 miles per hour, while Family 2 average rate of speed was 54 miles per hour.

Step-by-step explanation:

Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:

Family 1: ((270/2) + (12 x 2.5)) / 2.5

Family 1: (135 + 30) / 2.5

Family 1: 165 / 2.5

Family 1: 66 miles per hour

Family 2: (270/2) / 2.5

Family 2: 135 / 2.5

Family 2: 54 miles per hour

In this exercise we have to use the knowledge of speed to calculate the speed each family achieves, thus we find that:

  • Family 1 the average rate of speed for each family is 66 miles per hour.
  • Family 2 the average rate of speed for each family is 54 miles per hour

Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:

So looking at family 1 we found that:

[tex]F_1:\frac{ ((\frac{270}{2.5})+(12*2.5))}{2.5} \\F_1: \frac{(135 + 30)}{2.5}\\F_1: \frac{165}{2.5}\\F_1: 66 \ miles \ per \ hour[/tex]

So looking at family 2  we found that:

[tex]F_2: \frac{(\frac{270}{2})}{2.5}\\F_2: \frac{135}{2.5}\\F_2: 54 \ miles \ per \ hour[/tex]

See more about speed at brainly.com/question/7359669