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