Answer:
lane´s speed is 6.64 mi/h
Step-by-step explanation:
Hello
this is a usual problem of unit conversion
step 1
convert steps⇒ft
let
3.25 ft = 1 step
Velocity=180 steps / min
we can eliminate the units multiplying by
[tex]\frac{3.25 ft}{ 1\ step}[/tex]
because that=1
to change the units
the fraction must be accommodated to change the unit
[tex]\\180\frac{step}{min} *\frac{3.25 ft}{ 1\ step} =180*3.25\frac{ft}{min}\\[/tex]
Step 2
converts ft ⇒mile
1m=5280 ft
[tex]=180*3.25\frac{ft}{min}=585 \frac{ft}{min} \\\\and\ again\ we\ use\ the\ conversion\to\change\unit\\\\\\\\585 \frac{ft}{min} *(\frac{1 mi}{5280\ ft})= (\frac{585}{5280})\ \frac{mi}{min}[/tex]
the fraction must be accommodated to change the unit
step 3
converts minutes ⇒hours
60 minutes = 1 hour
[tex](\frac{585}{5280})\ \frac{mi}{min}*\frac{60\ min}{1\ hour} =\frac{60*585\ min}{5280 hour}\\ =6.64 \frac{mi}{hour} \\V=6.64 \frac{mi}{hour}[/tex]
V=6.64 mi/h
now we Know lane´s speed is 6.64 mi/h
