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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
+887
+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
+25918
+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
+111435
+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

Mar 3, 2020