High School

Julio and Josie live down the street from each other, 1500 meters apart. They leave their homes at the same time, walking towards each other. Julio travels at a rate of 2000 meters per hour, and Josie travels at a rate of 4000 meters per hour. How far apart are they after they walk for 15 minutes?

Answer :

Answer:

Let's break it down step by step:

Step 1: Convert the time from minutes to hours

15 minutes = 15/60 hours = 0.25 hours

Step 2: Calculate the distance traveled by Hulio in 0.25 hours

Distance = Speed x Time = 2000 meters/hour x 0.25 hours = 500 meters

Step 3: Calculate the distance traveled by Josie in 0.25 hours

Distance = Speed x Time = 4000 meters/hour x 0.25 hours = 1000 meters

Step 4: Calculate the total distance covered by both Hulio and Josie

Total distance = Distance traveled by Hulio + Distance traveled by Josie

= 500 meters + 1000 meters

= 1500 meters

Step 5: Since they are walking towards each other, subtract the total distance covered from the initial distance to find the distance between them after 15 minutes

Distance between them = Initial distance - Total distance covered

= 1500 meters - 1500 meters

= 0 meters

However, since they cannot occupy the same space at the same time, they will meet after 15 minutes, and the distance between them will be 0 meters.

The final answer is: 0

Answer: 0 m

Step-by-step explanation:

We can use what we know about speed and distance to solve this problem. We can calculate how far both people travel in 15 minutes to find out how far apart they are.

The formula relating speed and distance is

[tex]\displaystyle \text{speed} = \frac{\text{distance}}{\text{time}}[/tex]

Rearranging the formula, we get that [tex]\displaystyle \text{distance} = \text{speed} \times \text{time}[/tex].

For Hulio, the distance travelled will be

[tex]d = 2000 \times 0.25 = 500[/tex]

We use 0.25 because 15 minutes is 0.25 hours.

For Josie, the distance travelled will be

[tex]d = 4000 \times 0.25 = 1000[/tex]

We know that the distance between the two is the total distance minus the distance covered by each person.

[tex]d = 1500 - 500 - 1000\\d= 0[/tex]

The distance between the two is 0 m. They meet each other at 15 minutes.