Answer:
[tex]120.822\frac{mi}{s}[/tex] will be the speed in [tex]\frac{mi}{s}[/tex]
Explanation:
This is a unit conversion problem.
To solve it, we need the equivalences between km and ft, ft and mi and hr and s.
The equivalences are :
[tex]5280 ft=1 mi\\1km=3280.84 ft\\1hr=60 min\\1min=60s[/tex]
If [tex]5280ft=1mi[/tex] then
[tex]\frac{5280ft}{1mi}=1\\\frac{1mi}{5280ft}=1[/tex]
The trick is to multiply by one the speed given until to convert it in mi/s units
[tex](7.00).10^{5}\frac{km}{hr}.\frac{3280.84ft}{1km}.\frac{1mi}{5280ft}.\frac{1hr}{60min}.\frac{1min}{60s}=120.822\frac{mi}{s}[/tex]
Notice that km,ft,hr and min have been cancelled.
Be careful of the fraction order.
Multiply by ft/km is different that multiply by km/ft
