Question

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked

Answer 1

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:

$distance = speed \times time$

From her house to the beach:

$distance = 4 \times q = 4q$

From the beach to the park:

$distance = 5 \times p = 5p$

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