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.

Answer 1

Courtney took 2/3 hours to walk from her house to the beach and 4/3 hours to walk from the beach to the park.

Step-by-step explanation:

The distance from Courtney's house to the beach is [4b] kilometers, and the distance from the beach to the park is [5p] kilometers. In total, Courtney walked [8] kilometers. The time it took for her to walk from her house to the beach is [b] hours, and the time it took for her to walk from the beach to the park is [p] hours. Since the total walking time was [2] hours, we can write the equation: b + p = 2.

Since the distance is equal to speed multiplied by time, we can write the equations: 4b + 5p = 8 and b + p = 2. Solving these simultaneous equations, we can find the values of b and p. From the second equation, we can extract the value of p in terms of b: p = 2 - b. Substituting this value of p in the first equation, we get: 4b + 5(2 - b) = 8. Solving this equation, we find that b = 2/3 and p = 4/3.

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