Question 203274
A jet plane traveling at 500 mph overtakes a propeller plane traveling at
 200mph that had a 2-hour head start.
 How far from the starting point are the planes?
:
find the travel times, then find the distance from that
t = travel time of the jet
(t+2) = travel time of the prop
:
When the jet overtakes the prop, they will have traveled the same distance
Write a distance equation Dist = speed * time
:
500t = 200(t+2)
500t = 200t + 400
500t - 200t = 400
300t = 400
t = {{{400/300}}}
t = {{{4/3}}}, or 1{{{1/3}}} hrs
:
Find the dist: {{{4/3}}} * 500 = 666.67 mi, dist of the jet
Check the dist: {{{10/3}}} * 200 = 666.67 mi, dist of the prop