Question

At noon, a cargo plane leaves McHare Airport and heads east at 180 miles per hour. Its destination is
Jamesville which is 500 miles away. At 1:00, a jet takes off from McHare and flies east after the cargo
plane traveling at 450 miles per hour.
One hour after the jet has taken off, has the jet caught up with the cargo plane? Justify your
reasoning, showing any calculations you made to answer this question.
your variable.

Answer 1

Indeed, one hour after the jet has taken off, the jet has caught up with the cargo plane.

How is the above decision determined?

The time it takes the cargo plane to cover 450 miles is 2.5 hours (450/180).

The time it takes the jet to cover 450 miles is 1 hour (450/450).

The two planes will catch up with each other in 2 hours, by which time the cargo plane has done only 360 miles while the jet has covered 450 miles.

Data and Calculations:

Speed of the cargo plane = 180 miles per hour

Total distance to travel to Jamesville from McHale Airport = 500 miles

Speed of the jet = 450 miles per hour

Remaining distance after one hour = 320 miles (500 - 180)

After the cargo plane runs another hour of 180 miles, the jet must have caught up with and overtaken the cargo plane.

In two hours, the cargo plane covers 360 miles (180 x 2).

The time it takes the cargo plane to cover 450 miles is 2.5 hours (450/180).

Thus, one hour after the jet took off, the jet caught up and overtook the cargo plane.

Learn more about the speed, time, and distance at https://brainly.com/question/553636

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