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

Question

3 years ago

9

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?

Mathematics

2 answers:

Yuri [45] · Answer 1 · 2022-01-23T14:11:22+03:00

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

Step-by-step explanation:

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

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Allisa [31] · Answer 2 · 2022-01-23T15:20:12+03:00

Answer:

4 minutes

Step-by-step 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.