Question

It takes Heidi 10 minutes to get to school going at a speed of 27 miles/hour. How long will it take her to get to school if she goes 40 miles/hour?

Answer 1

the answer is  6.75 minutes

Answer 2

0.108 hour = 6.48 minutes.

Explanation:

We have that Heidi travels the same distance in the two cases. Then, we are going to use the distance formula.

d = v*t, where d is distance, v the velocity and t the time.

We have that 10 minutes are 0.16 hours. Then,

`d = (0.16hour*27miles)/(hour) = 4.32miles`.

Now, with 40 miles/hour we have

`4.32miles = t*(40miles)/(hour)`

`t = (4.32miles)/(40miles/hour) = 0.108hour.`

Then, it will take her 0.108 hour = 6.48 minutes to get to school.