SOLUTION: I need some help with these questions. - 14. Flight 725 left New York at 10:28 a.m. flying north. Flight 245 left from the same airport at 11:18 a.m. flying south at one hundred

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I need some help with these questions. - 14. Flight 725 left New York at 10:28 a.m. flying north. Flight 245 left from the same airport at 11:18 a.m. flying south at one hundred       Log On


   



Question 747634: I need some help with these questions.
-
14. Flight 725 left New York at 10:28 a.m. flying north. Flight 245 left from the same airport at 11:18 a.m. flying south at one hundred twenty kph less than three times the speed of flight 725. At 1:06 p.m. they are 1,030 kilometers apart. What is the average rate of speed for Flight 245?
A) 165 kph
B) 395 kph
C) 365 kph
D) 345 kph
E) 155 kph
F) 175 kph
-
15. What is the average rate of speed for Flight 725?
A) 165 kph
B) 395 kph
C) 365 kph
D) 345 kph
E) 155 kph
F) 175 kph
-
Any help would be greatly appreciated, and if you can show your steps, that would really help me to understand how I should go about tackling more problems like these in the future. Thank you for your time.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
If the north-bound flight's speed is N and the south-bound flight's speed is S;
S+=+3N+-+120
and
2.63N+%2B+1.80S+=+1030
substituting,
2.63N+%2B+1.80%2A%283N+-+120%29+=+1030
2.63N+%2B+5.40N+-+216+=+1030
8.03N+=+1246
N+=+155.17+kph

substituting in the first equation,
S+=+3%2A%28155.17%29+-+120
S+=+345.51+kph
Flight 245 is the south-bound flight, so it's S=345.51kph, or answer D.

What is the average rate of speed for Flight 725?
since given light 725 flying north, its speed is N which is
N+=+155.17+kph; so, answer is E) 155+kph