+0  
 
0
62
3
avatar

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+863 
+2

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 = \((15.5 \times 5280\)) = \(81,840\) 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 \(\frac{\text{ft}}{\text{min}}\), so we have \(\frac{81840}{60}\) = \(\boxed{1,364 \frac{\text{ft}}{\text{min}}}\)

.
 Mar 3, 2020
 #2
avatar+22043 
+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+109499 
+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

36 Online Users

avatar
avatar
avatar
avatar
avatar
avatar
avatar