Question

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?

Answer 1

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

 

Answer:

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