SOLUTION: Several hours after departure the two ships described to the right are 340 miles apart. If the ship traveling south traveled 140 miles farther than the​ other, how many miles

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Several hours after departure the two ships described to the right are 340 miles apart. If the ship traveling south traveled 140 miles farther than the​ other, how many miles      Log On


   

Question 1086767: Several hours after departure the two ships described to the right are 340 miles apart. If the ship traveling south traveled 140 miles farther than the​ other, how many miles did they each​ travel?
How far did the eastbound ship travel?
How far did the southbound ship travel? x+140
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Several hours after departure the two ships described to the right are 340 miles apart. If the ship traveling south traveled 140 miles farther than the​ other, how many miles did they each​ travel?
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How far did the eastbound ship travel? x
How far did the southbound ship travel? x+140
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Equation::
x^2 + (x+140)^2 = 340^2
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x^2 + x^2 + 280x + 140^2 = 340^2
2x^2 + 280x - 96000 = 0
x^2 + 140x - 48000 = 0
(x-160)(x+300) = 0
Positive solution::
x = 160 miles (eastbound ship distance)
x+140 = 300 miles (southbound ship distance)
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Cheers,
Stan H.
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