Question

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

A. 588ft/min
B. 855ft/min
C. 4180ft/min
D. 4810ft/min

Answer 1

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

Answer 2

C.4180 ft/min

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

`(1\ mile)/(5280\ ft)=(285\ miles)/(x)\\\\ solve\ for\ x\\(x*1\ mile)/(5280\ ft)=285\ miles\\x*1\ mile=285\ miles*5280\ ft\\x=(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

`(1\ hour)/(60\ min)=(6\ hours)/(x)\\\\ solve\ for\ x\\(x*1\ hour)/(60\ min)=6\ hour\\x*1\ hour=6\ hour*60\ min\\x=(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=(distance)/(time)\\ replacing\\V=(1504800\ ft)/(360\ min)\\ V=4180 (ft )/(min)`

C.4180 ft/min

Have a nice day.