@markr,
markr wrote:
Izzie: You need one crew member (call him Try) in addition to yourself:
Izzie and Try walk 50 miles together. They've each used 1/3 of their provisions. Try gives Izzie half of his remaining 2/3, leaving him just enough to get back. Izzie can now go another 150 miles (70 to the boat and 80 back), putting her 40 miles from her destination.
Since Try was able to escort her to the 50-mile mark, he'll have no problem escorting her back from the 40-mile mark.
Mark....mmmmmmmmmmmm..... I am well confused right now....in your example " if I just got Try to help " and he travelled 50 miles with me and I made him sing “It’s a long way, to Ship-er-rary, It’s a long way to go” " he would have used one and two thirds days of rations and would need one and two third days of rations to return to the Tor. If we started off with 10 days of rations in total " it would leave me six and one third days rations in total.
I would need 8 days supply to get back from 0-30-60-90-120-90-60-30-0..... which means I would be without chocolate for nearly two days.
However, you said for him to give me some of his rations.
If I figured it your way " Try and I would use two thirds each (1.66666) of our supplies to get to 50 miles, Try would be able to use another 0.33333 to go back 10 miles, and I would use a third to go 10 miles forward = 4 days supply in total.
1.66 to 50 miles. 1.66 back 50 miles. Try started with 5 days rations " he uses 1.66666 to go 50 miles, leaving him 3.3333. He gives me half = 1.666666 leaving his 1.66666 to get back. He’s coco. We can only go 30 miles each in one day. So, at the end of day two Try is back at 40 miles (50+10) and has 1.66666-0.33333=1.33333 days supplies left. He can return 30 miles on day 3 and the remaining 10 miles on day 4 and use all his rations. He’s a happy camper.
On day 2 I’ve used 1.6666 to get 50 miles and use 0.333333 to travel another 10 miles. If I take half of Try’s two thirds (1.66) plus my remaining 3.32 (5days " 1.66days) minus 0.33333 {to travel another 10 miles}) = leaving me four and two thirds days supply at the end of day 2.
Day 3: 1 day supply to 90 miles
Day 4: 1 day supply to 120 miles
Stay overnite in the hotel
Day 5: 1 day back to 90 miles
Day 6: 1 day back to 60 miles
Day 7: I only have two thirds of day supply so I get from 60 miles to 40 miles and am too pooped to go any further..... sit there on my own, cold, hungry, no chocolate..........................................
Lights fire.... sends smoke signals.... needs rescuing!
MAN OH MAN.... dontya understand a gal can’t go without her chocolate.
K- guys...... explain it to me. I still can’t figure it out. Where am I going wrong? Seriously!!!!!!!!
<thinks long and hard about ever putting down a puzzle that I have the wrong the answer for and can’t figure out>