Respuesta :
The system of equations that represents this situation are:
q + p = 2
4q + 5p = 8
Solution:
Let q be the number of hours it took Courtney to walk from her house to the beach
Let p be the number of hours it took her to walk from the beach to the park
The entire walk took 2 hours
Therefore,
q + p = 2 ------- eqn 1
The total distance Courtney walked was 8 kilometers
Total distance = 8 km
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour
Then walked from the beach to the park at a constant speed of 5 kilometers per hour
Distance is given as:
[tex]distance = speed \times time[/tex]
From her house to the beach:
[tex]distance = 4 \times q = 4q[/tex]
From the beach to the park:
[tex]distance = 5 \times p = 5p[/tex]
We know that,
Total distance = 8 km
Therefore,
4q + 5p = 8 ------ eqn 2
Thus the system of equations that represents this situation are:
q + p = 2
4q + 5p = 8
Question:
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers.
Let b be the number of hours it took Courtney to walk from her house to the beach, and p the number of hours it took her to walk from the beach to the park.
Which system of equations represents this situation?
Answer:
CORRECT (SELECTED)
⎪b+p=2
⎨4b+5p=8
