A boat leaves a dock at 4:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due east at 15 km/h and reaches the same dock at 5:00 PM. How many minutes after 4:00 PM were the two boats closest together?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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A boat leaves a dock at 4:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading
due east at 15 km/h and reaches the same dock at 5:00 PM. How many minutes after 4:00 PM were the two
boats closest together?
Step 1
Let t be the time, in hours, after 4:00 PM If the position of the boat at t
the position of the boat heading south at time t is
0 corresponds to the origin, then
(x, y) =
225,400
15 km/h
W
20 km/h
O Type here to search
hp
选
Transcribed Image Text:A boat leaves a dock at 4:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due east at 15 km/h and reaches the same dock at 5:00 PM. How many minutes after 4:00 PM were the two boats closest together? Step 1 Let t be the time, in hours, after 4:00 PM If the position of the boat at t the position of the boat heading south at time t is 0 corresponds to the origin, then (x, y) = 225,400 15 km/h W 20 km/h O Type here to search hp 选
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