SOLUTION: . At noon, a ship leaves a harbor and sails south at 10 knots. Two hours later, a second ship leaves the harbor and sails east at 15 knots. When will the ships be 100 nautical mil

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: . At noon, a ship leaves a harbor and sails south at 10 knots. Two hours later, a second ship leaves the harbor and sails east at 15 knots. When will the ships be 100 nautical mil      Log On


   

Question 1200645: . At noon, a ship leaves a harbor and sails south at 10 knots. Two hours later, a second ship
leaves the harbor and sails east at 15 knots. When will the ships be 100 nautical miles apart?
Round to the nearest minute
Answer by ikleyn(52838) About Me  (Show Source):
You can put this solution on YOUR website!
.

Consider the corresponding right angled triangle.

Express each leg as a function of time, counting the time "t" after leaving the second shipp.

Write Pythagorean equation related the legs and the hypotenuse.

Solve this quadratic equation for "t", the time.

To solve the quadratic equation, use the quadratic formula.


Having these instructions, go BOLDLY forward until you complete this assignment on YOUR OWN.