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? x
How far did the southbound ship travel? x+140 
-------
Equation::
x^2 + (x+140)^2 = 340^2
---------------------------
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)
---------
Cheers,
Stan H.
-------------