Item 9 a flight averages 460 miles per hour. the return flight averages 500 miles per hour due to a tailwind. the total flying time is 4.8 hours. how long is each flight?

Let us say that the variables for flight is designated by 1, while the return flight by 2, since the distance travelled are equal, therefore:

v1 t1 = v2 t2

or

460 t1 = 500 t2

Since t1 + t2 = 4.8, therefore: t1 = 4.8 – t2

460 (4.8 – t2) = 500 t2

2208 – 460 t2 = 500 t2

960 t2 = 2208

t2 = 2.3

t1= 4.8 – t2 = 4.8 – 2.3

t1 = 2.5

The flight took 2.5 hours while the return flight took 2.3 hours.

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