Question

A man riding a motorbike travels a distance of 285 miles in 6 hours. What is the motorbike speed in feet per minute?

Answer 1

Answer:

C.4180 ft/min

Step-by-step explanation:

Hello, I think I can help you with this

Step 1

convert 258 miles into feet using a rule of three, the equivalence is

1 mile = 5280

Now, if

1 mile ⇒ 5280 ft

285 miles  ⇒x

the relation is

$\frac{1\ mile}{5280\ ft}=\frac{285\ miles}{x}\\\\ solve\ for\ x\\\frac{x*1\ mile}{5280\ ft}=285\ miles\\x*1\ mile=285\ miles*5280\ ft\\x=\frac{285\ miles*5280\ ft}{1\ mile} \\x=1504800\ ft$

Step 2

convert 6 hours into minutes using a rule of three, the equivalence is

1 hour = 60 min

Now, if

1 hour ⇒ 60 min

6 hours  ⇒x min

the relation is

$\frac{1\ hour}{60\ min}=\frac{6\ hours}{x}\\\\ solve\ for\ x\\\frac{x*1\ hour}{60\ min}=6\ hour\\x*1\ hour=6\ hour*60\ min\\x=\frac{60\ min*6\ hour}{1\ hour} \\x=360\ min}$

the time he was  traveling  is 360 min

Step 3

the velocity is the relation between the distance and the time

the distance he traveled is

$V=\frac{distance}{time}\\ replacing\\V=\frac{1504800\ ft}{360\ min}\\ V=4180 \frac{ft }{min}$

C.4180 ft/min

Have a nice day.

Answer 2

The answer would be c because if you turn the 285 miles into into feet, and divide it by the number of minutes in 6 hours, you get 4180 ft