# NavList:

## A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding

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Re: Christmas week Quizzes
From: David Pike
Date: 2020 Dec 27, 04:12 -0800

Quiz No2

Our pilot from yesterday decided he enjoyed his flight so much he’s decided to do the same again today. His airspeed speed will still be 150 kts; he’ll still have three hours safe endurance; and his outbound track will still be to the east.  However, today, the forecast wind velocity is 30kts from 030 degrees.  Calculate what his heading should be if he is to track to the east; after how many minutes he must turn around to track back west, how far east he will have travelled; and what his heading home must be.

Solution to yesterday’s Quiz

Let distance east = R. Groundspeed out =Go = 150-30=120kts.

Groundspeed home = Gh=150+30=180kts.  Time out = To = R/120.  Time home = Th = R/180

Endurance = E = 3hrs = To + Th = R/120+R/180 = R (120 + 180)/120x180 = 300R/21600

Therefore R=3x21600/300 = 216nm and To = 60x216/120 = 108minutes

Check: Does Th = 180-108=72minutes = 216x60/180 yes it does. DaveP
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