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.