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Only 3 ships dock on a remote port. One ship docks every other 8 days, the second ship every 10 days, and the last ship every other 15 days. Each ship leaves the port on the same day it arrives. If three ships were present on January 1, how many days of the year (365 days) is the port empty?

Only 3 ships dock on a remote port. One ship docks every other 8 days, the second ship every 10 days, and the last ship every other 15 days. Each ship leaves the port on the same day it arrives. If three ships were present on January 1, how many days of the year (365 days) is the port empty?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Only 3 ships dock on a remote port. One ship docks every other 8 days, the second ship every 10 days, and the last ship every other 15 days. Each ship leaves the port on the same day it arrives. If three ships were present on January 1, how many days of the year (365 days) is the port empty?
Transcribed Image Text:2. Only 3 ships dock on a remote port. One ship docks every other 8 days, the second ship every 10 days, and the last ship every other 15 days. Each ship leaves the port on the same day it arrives. If three ships were present on January 1, how many days of the year (365 days) is the port empty?
INSTRUCTIONS: Solve each problem thoroughly by applying Polya's four-step approach to problem solving. Show a complete solution to earn all the credit points. Write clearn and neat solutions using white bond paper and a clear writing pen (not pencil). Use separate sheets for each of the problems. In each solution, LABEL EACH STEP you applied, with reference to Polya's method. If needed, explore inductively, then reason deductively as much as possible. Some of the tasks may need more time to think about compared to others. Make sure you spend enough time on each one. Write down significant attempts at solving the task, conjectures (if any), explanations, observations, realizations, questions, etc.
Transcribed Image Text:INSTRUCTIONS: Solve each problem thoroughly by applying Polya's four-step approach to problem solving. Show a complete solution to earn all the credit points. Write clearn and neat solutions using white bond paper and a clear writing pen (not pencil). Use separate sheets for each of the problems. In each solution, LABEL EACH STEP you applied, with reference to Polya's method. If needed, explore inductively, then reason deductively as much as possible. Some of the tasks may need more time to think about compared to others. Make sure you spend enough time on each one. Write down significant attempts at solving the task, conjectures (if any), explanations, observations, realizations, questions, etc.
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