A private plane leaves an airport and flies due east at 192 miles per hour. Two hours later, a jet leaves the same airport and flies due east at 960 miles per hour. How long will the private plane fly until it is passed by the jet?
To find out how long the private plane will fly until it is passed by the jet, we need to calculate the distance that the jet travels in the time it takes for the private plane to get caught up.
First, we'll calculate the distance the private plane travels in the two hours before the jet takes off.
Distance = Speed × Time
Distance = 192 miles/hour × 2 hours = 384 miles
Now, let's calculate how long it takes for the jet to cover this distance and catch up to the private plane.
Time = Distance / Speed
Time = 384 miles / (960 miles/hour) = 0.4 hours
Therefore, it will take the jet 0.4 hours (or 24 minutes) to catch up to the private plane.
960t - 192(2) = 192t
960t - 384 = 192t
-384 = 192t -960t
-384 = -768t
t = .5
.5 hour
1/2 hour