Problema Solution
a jet plane traveling at 550 mph overtakes a propeller planer traveling at 150 mph that had a 2 hour head start.How far from the starting point are the planes.
Answer provided by our tutors
let
v1 = 550 mph the speed of the jet plane
t1 = the time the jet plan traveled till the meeting point
v2 = 150 mph the speed of the propeller plane
t2 = the time the propeller plan traveled till the meeting point
the propeller plane had a 2 hour head start
t2 = t1 + 2
the distance the traveled
d = v1*t1 = v2*t2
550*t1 = 150*t2
by solving the system of equations
t2 = t1 + 2
550 * t1 = 150*t2
we find
t1 = 0.75 hours
t2 = 2.75 hours
thus the distance will be
d = 0.75*550 = 412.5 miles
The planes are 412.5 miles far from the starting point.