SOLUTION: A plane set off to Portland at a speed of 298 miles per hour. On the return flight of 15 hours, the plane cruised at 234 miles per hour. How many hours long was the flight to Portl
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-> SOLUTION: A plane set off to Portland at a speed of 298 miles per hour. On the return flight of 15 hours, the plane cruised at 234 miles per hour. How many hours long was the flight to Portl
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Question 826365: A plane set off to Portland at a speed of 298 miles per hour. On the return flight of 15 hours, the plane cruised at 234 miles per hour. How many hours long was the flight to Portland? Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! ---
s = d/t
d = s*t
x = time outbound (to Portland)
y = distance between cities
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outbound:
s = d/t
y = 298x
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inbound:
s = d/t
y = 234*15
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linear system:
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y = 298x
y = 234*15
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put the system of linear equations into standard form:
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298x - y = 0
y = 3510
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solution:
x = time outbound (to Portland) = 11.778523 hours
y = distance between cities = 3510 miles
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system matrix
298 -1
0 1
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inverse of system matrix
0.0033557047 0.0033557047
0 1
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determinant of system matrix = 298
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