SOLUTION: A ship leaves port at 12:00 pm (noon) and sails east at 10 miles per hour. Another leaves the same port at 1:00 pm and sails north at 20 miles per hour. At what time are the ship

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Question 935168: A ship leaves port at 12:00 pm (noon) and sails east at 10 miles per hour. Another leaves the same port at 1:00 pm and sails north at 20 miles per hour. At what time are the ships 50 miles apart? Show all your calculations.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A ship leaves port at 12:00 pm (noon) and sails east at 10 miles per hour. Another leaves the same port at 1:00 pm and sails north at 20 miles per hour. At what time are the ships 50 miles apart?
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t = 0 at 1 PM
Distance from port:
Eastbound = 10t + 10
Northbound = 20t
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d%5E2+=+%2810t%2B10%29%5E2+%2B+%2820t%29%5E2
%2810t%2B10%29%5E2+%2B+%2820t%29%5E2+=+50%5E2+=+2500
100t%5E2+%2B+200t+%2B+100+%2B+400t%5E2+=+2500
500t%5E2+%2B+200t+%2B+100+=+2500
5t%5E2+%2B+2t+-+24+=+0
(5t + 12)*(t - 2) = 0
t = 2 hours (Ignore the negative solution)
--> 3 PM