SOLUTION: Two boats leave a dock at the same time. One boat is headed directly east at a constant speed of 35 knots (nautical miles per hour), and the other is headed directly south at a c
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Question 153483: Two boats leave a dock at the same time. One boat is headed directly east at a constant speed of 35 knots (nautical miles per hour), and the other is headed directly south at a constant speed of 22 knots. Express the distance d between the boats as a function of the time t Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Two boats leave a dock at the same time. One boat is headed directly east at a constant speed of 35 knots (nautical miles per hour), and the other is headed directly south at a constant speed of 22 knots. Express the distance d between the boats as a function of the time t.
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You can see that the boats' paths represent 2 sides of a right triangle
The distance between the two boats is represented by the hypotenuse
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Let t = travel time of the boats:
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one boat dist = 22t, the other boat dist = 35t
;
d =
:
d =
:
d =
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d = 41.34t
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Check solution with calc using t = 1 hr
Enter: = 41.34
