Question

for a given speed, the distance traveled varies directly with the time. Kate's school is 5 miles away from her home and it takes her 10 minutes to reach the school. If Josh lives 2 miles from school and travels at the same school as Kate, how long will it take him to reach the school?​

Answer 1

Answer: It will take Josh 4 minutes to get to school.

Explanation:

1. Divide the distance by the time.
2. So, 10 minutes/ 5 miles
3. Solve: 10/5= 2
4. Their speed is 2 minutes per mile.
5. Multiply 2 miles by 2 minutes
6. The answer is 4 minutes
7. It takes 4 minutes to get from Josh's house to the school.

(;

Answer 2

4 minutes

Explanation:

Since the rates are the same, we have the proportion ...

(Josh's time)/(Josh's distance) = (Kate's time)/(Kate's distance)

Solving for Josh's time, we get ...

Josh's time = (Kate's time)(Josh's distance)/(Kate's distance)

Josh's time = (10 minutes)(2 miles)/(5 miles)

Josh's time = (10·2)/5 minutes = 4 minutes

It will take Josh 4 minutes to reach the school.