SOLUTION: Two ships leave the same harbor at the same time. The first ship heads north at 20 miles per hour and the second ship heads west at 15 miles per hour. Write an expression that give

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Question 258807: Two ships leave the same harbor at the same time. The first ship heads north at 20 miles per hour and the second ship heads west at 15 miles per hour. Write an expression that gives the distance d between ships after t hours.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two ships leave the same harbor at the same time.
The first ship heads north at 20 miles per hour and the second ship heads west at 15 miles per hour.
Write an expression that gives the distance d between ships after t hours.
:
This is a pythag problem: c^2 = a^2 + b^2 or
c = sqrt%28a%5E2%2Bb%5E2%29
a = dist traveled in t hrs of the 1st ship
b = dist traveled in t hrs by 2nd ship
c = dist between the two ships after t hrs (d)
;
Dist = speed * time (t)
:
d = sqrt%28%2820t%29%5E2+%2B+%2815t%29%5E2%29
d = sqrt%28400t%5E2+%2B+225t%5E2%29
d = sqrt%28625t%5E2%29
d = 25t is the distance between the ships after t hrs