Problema Solution
a jet flew at an average speed of 480 mph from point X to Y. because of head winds, the jet averaged only 460 mph on the return trip, and the return trip took 15 minutes longer. how many hours was the flight from point Y to point X? how far is it from point X to point Y
Answer provided by our tutors
let
d = the distance between X and Y
t = the time of the flight from X to Y
t + 15/60 = t + 1/4 the time of the return flight
the speed from X to Y with tale wind: 480 mph
the speed from Y to X with head wings: 460 mph
since the speed = distance/time follows distance = speed*time
480*t = 460*(t + 1/4)
by solving we find
t = 5.75 hr
click here to see the step by step solution of the equation:
the time of the return flight was:
t + 1/4 = 5.75 + 0.25 = 6 hr
how far is it from point X to point Y?
d = 460*6
d = 2,760 mi
X is 2,760 miles from point Y.