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?

Respuesta :

the answer is  6.75 minutes

Answer:

0.108 hour = 6.48 minutes.

Step-by-step 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,

[tex]d = \frac{0.16hour*27miles}{hour} = 4.32miles[/tex].

Now, with 40 miles/hour we have

[tex]4.32miles = t*\frac{40miles}{hour}[/tex]

[tex]t = \frac{4.32miles}{40miles/hour} = 0.108hour.[/tex]

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

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