Problema Solution
An airplane leaves the airport at 200kph. Another plane leaves an hour later traveling the same route. Three hours after the first plane took off the second plane catches up with the first plane. How fast is the second plane traveling?
Answer provided by our tutors
let
v1 = 200 kph the traveling speed of the first plane
v2 = the traveling speed of the second plane
t1 = the time the first plane traveled before the second plane caught up
t2 = the time the second plane traveled before it caught up with the first
another plane leaves an hour later traveling the same route
t2 = t1 - 1
3 hours after the first plane took off the second plane catches up with the first plane
t1 = 3 => t2 = 3-1 = 2
since the traveled the same distance and we know distance=speed*time
v1*t1 = v2*t2
200*3 = v2*2
v2*2 = 600
v2 = 600/2
v2 = 300 kph
the speed of the second plane is 300 kph.