At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 5 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
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can you help me do this one in handwriting please? And can you help me draw the graph in the note too?

At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship B is sailing north at 15 knots.
How fast (in knots) is the distance between the ships changing at 5 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
Note: Draw yourself a diagram which shows where the ships are at noon and where they are "some time" later on. You will need to
use geometry to work out a formula which tells you how far apart the ships are at time t, and you will need to use "distance =
velocity * time" to work out how far the ships have travelled after time t.
Transcribed Image Text:At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 5 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) Note: Draw yourself a diagram which shows where the ships are at noon and where they are "some time" later on. You will need to use geometry to work out a formula which tells you how far apart the ships are at time t, and you will need to use "distance = velocity * time" to work out how far the ships have travelled after time t.
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