Question 1017315

A jet plane, flying 160 mph faster than a propeller plane, travels 3840 miles in 4 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?
<pre>Let speed of jet, be S
Then speed of propeller plane = S – 160
We then get: {{{matrix(1,1,"3,840")/S = matrix(1,1,"3,840")/(S - 160) - 4}}}
Multiply by LCD, S(S - 160), and solve for S: the speed of the jet. Then calculate: S - 160 for the speed of the propeller plane.
You should get: jet's, and propeller plane's speeds as: {{{highlight_green(matrix(1,2,480,"mph"))}}}, and {{{highlight_green(matrix(1,2,320,"mph"))}}}, respectively