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A bicycle is traveling at a speed of 15.5 miles per hour. What is the speed in feet per minute?

 Mar 3, 2020
 #1
avatar+998 
+5

Hey!

 

So let's start off by doing some conversions.

 

(Whisper) there's 5280 feet in a mile (Whisper)

 

Ok, since we already know that 1 mi = 5280 ft,

We can set up a ratio to figure out that 15.5 mi = (15.5×5280) = 81,840 ft.

 

Now, that's not our answer just yet.

 

We have to do the second conversion.

 

Because we know how time works, there's 60 minutes in an hour.

 

We need the speed in ftmin, so we have 8184060 = 1,364ftmin

 Mar 3, 2020
 #2
avatar+37165 
+2

Via dimensional analysis.....note how things cancel out and you are left with  f / m

 

15.5  mile / hr    x    1 hr / 60 m      x   5280 ft / mile    =  1364 f / min

 Mar 3, 2020
 #3
avatar+130466 
+1

60 mph  = 88 ft/s

 

So

 

x / 15.5  =  88/ 60        cross-multiply

 

60x  = 15.5 * 88

 

x  =   15.5  * 88  / 60   = 341 /15  ft /s

 

So

 

341 / 15  *  60  ≈  1364  ft / min

 

 

cool cool cool

 Mar 3, 2020

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