Toby skated from his house to the beach at a constant speed of 8 kilometers per hour, and then skated from the beach to the park at a constant speed of 7 kilometers per hour. the total distance toby skated was 20 kilometers, and it took him twice as long to get to the park. let b be the number of hours it took toby to skate from his house to the beach, and p the number of hours it took him to skate from the beach to the park. which system of equations represents this situation?

This question is based on the system of equations . Therefore, the both equations 8 b + 7 p = 20 and   p = 2b are represents this situation.

Given:

Toby skated  8 kilometres per hour and then skated from the beach to the park at a constant speed of 7 kilometres per hour.

According to the question,

It is given that,

Let b be the number of hours it took Toby to skate from his house to the beach, and p the number of hours it took him to skate from the beach to the park.

Now we have to form the system of equation to represent the given situation.

We get,

8 b + 7 p = 20

And, it is also given that,it took him twice as long to get to the park,

So, the equation become p = 2b .

Therefore, the both equations 8 b + 7 p = 20 and  p = 2b are represents this situation.

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8b+7p=20

p=2b

Step-by-step explanation: