A jet plane, flying 110 mph faster than a propeller plane, travels 5280 miles in 4 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?

Question

anonymous · Answer

i hate word problems but i bet we can do it

anonymous · Answer

A jet plane, flying 110 mph faster than a propeller plane, travels 5280 miles in 4 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?

anonymous · Answer

lets put $x$ as the prop planes speed, so the speed of the jet is $x+110$
since distance equals rate times time we know 
$$5280=xt$$for the prop plane and also 
$$5280=(x+110)(t-4)$$ for the jet

anonymous · Answer

you can get rid of the $t$ from the first equation and put 
$$t=\frac{5280}{x}$$ 
put that in to the second one and get 
$$(x+110)(\frac{5280}{x}-4)=5280$$

anonymous · Answer

solve that happiness and find $x=330$

anonymous · Answer

thank you so much! how would I find the second speed?

anonymous · Answer

Nevermind I got it thanks!