Problema Solution
A jet plane, flying 100 mph faster than a propeller plane, travels 5525 miles in 4 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?
Answer provided by our tutors
let
v = the rate of the propeller plane, v>0
t = the time of the propeller plane
v + 100 = the rate of the jet plane
t - 4 = the time of the jet plane
d = 5525 mi the distance traveled
since speed = distance/time we have distance = speed*time
v*t = 5525
t = 5525/v
(v + 100)(t - 4) = 5525
plug t = 5525/t inot the last equation
(v + 100)(5525/v - 4) = 5525
by solving we find:
v = 325 mph
click here to see the step by step solution of the equation:
325 + 100 = 425 mph the speed of the jet plane
the jet plane flies with a speed of 425 mph.
the propeller plant flies with a speed of 325 mph.