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A car is driving at a speed of 40 mi/h. What is the speed of the car in feet per minute?


Hint: I already know the answer can't be D) 211,200.

A) 2,400 ft/min

B) 1,720 ft/min

C) 3,520 ft/min

D) 211,200 ft/min

Please explain how you got your answer! : )
Thanks!

Respuesta :

The speed of the car per minute is 3,520 feet (choice c). This is because in order to solve the problem, you have to convert 40 mi/h into feet. Since there are 5,280 feet per mile, you have to do 5,280 x 40, which is 211,200, which is the number of feet per hour. But, the question is asking for ft/min. There are 60 minutes in an hour, so you divide 211,200 by 60, which is 3,520. So, the speed of the car per minute is 3,520 feet.

Answer:

C)3520 ft/min

Step-by-step explanation:

Hello, I think I can help you with this.

to solve this, you must know the equivalences

1 mile = 5280 feet

1 hour = 60 min

Hence

[tex]\frac{1\ mile}{5280\ ft}=\frac{5280\ ft}{1\ mile}=1\\ \frac{1\ hour}{60\ min}=\frac{60\ min}{1\ hour}=1\\[/tex]

Step 1

convert mph into fpm

The simplest way to converts units is to multiply by an equivalent fraction in such a way that the old unit is eliminated and is in terms of the new one, the quantity is not altered because it is being multiplied by 1, only the unit is changed.

Let

[tex]v=40\frac{miles}{hour}*\frac{5280\ ft}{1\ miles}*\frac{1\ hour}{60\ minutes} \\v=\frac{40*5280}{60} \frac{ft}{minutes} \\v=3520\ \frac{ft}{min}\\[/tex]

C)3520 ft/min

I hope it helps, have a great day.

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