SOLUTION: 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

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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?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
r, rate for the propellor plane
t, time for the propellor plane 

             speed         time     distance
JET          r+160         t-4       3840
PROP          r             t        3840

Form the system of equations according to RT=D, basic travel rates rule.

system%28%28r%2B160%29%28t-4%29=3840%2Crt=3840%29

Somee algebra steps and substitutions to solve the system.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

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?
Let speed of jet, be S

Then speed of propeller plane = S – 160

We then get: 

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%28matrix%281%2C2%2C480%2C%22mph%22%29%29, and highlight_green%28matrix%281%2C2%2C320%2C%22mph%22%29%29, respectively