Marty leaves the airport in his private plane and flies due east at 186 mph. Two hours later, a jet leaves the same airport and flies due east at 434 mph. When will the jet overtake Marty's plane?
nevermind. i figured it out! thanks!
plane 1 travels 600 mph. plane 2 travels 800 mph and leaves 45 minutes later. when will plane 2 pass plane 1
To determine when the jet will overtake Marty's plane, we need to find the time it takes for the jet to catch up to Marty.
Let's denote this time as "t" (in hours) after the jet takes off.
Since Marty has a two-hour head start, we can express the distance Marty travels before the jet takes off as follows:
Distance traveled by Marty = 2 hours * 186 mph = 372 miles
Now, let's consider the distance the jet has to cover to catch up to Marty. The relative speed between the jet and Marty's plane is given by:
Relative speed = Jet's speed - Marty's speed = 434 mph - 186 mph = 248 mph
Therefore, the distance the jet needs to cover to catch up to Marty is 372 miles.
We can now set up the following equation using the formula:
Distance = Speed * Time, to find the time it takes for the jet to overtake Marty:
248t = 372
Solving this equation for "t," we divide both sides by 248:
t = 372 / 248 = 1.5 hours
So, it will take the jet 1.5 hours to catch up to Marty's plane.
To find out when the jet will overtake Marty, we need to add this time to the two-hour head start Marty had.
So, the total time it will take for the jet to overtake Marty is:
Total time = 2 hours (Marty's head start) + 1.5 hours (time for the jet to catch up) = 3.5 hours
Therefore, the jet will overtake Marty's plane 3.5 hours after it takes off.