A jet leaves the Charlotte, North Carolina, airport traveling at an average rate of 564 km/h. Another jet leaves the airport one half hour later traveling at 744km/h in the same direction. Use an equation to find how long the second jet will take to overtake the first.

Answer 1

at time t hr, the first plane goes 564t km

the second jet flies for 1/2 hour less, but at 744 km/h, so it has gone 744(t-.5)

When they have both gone the same distance,

744(t-.5) = 564t
744t - 372 = 564t
180t = 372
t = 2 hr 4 min