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Old December 31st, 2017, 02:40 PM   #1
L D[AR2,P#0.0]
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Xmas 2017 Puzzle (3)

A logic puzzle to finish off the holidays:

Four electric cars need to be moved 32km from A to B
The speeds of the cars are as follows:
Tesla 80m/s, Mirai 40m/s, e-Golf 20m/s, Leaf 10m/s
There is only one battery pack available which is interchangeable between all cars, and one tow rope. When a car is towed, the slowest of the two cars has to do the towing.
What is the smallest time needed to get all 4 cars from A to B (ignore accel/decel and the time taken to change battery packs and tow rope)

Answer by pm.
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Old January 1st, 2018, 01:39 AM   #2
ndzied1
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I’ll bite.

6400 sec
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Old January 1st, 2018, 03:52 AM   #3
daba
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Quote:
Originally Posted by ndzied1 View Post
Iíll bite.

6400 sec
"Answer by pm"
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Old January 1st, 2018, 04:04 AM   #4
L D[AR2,P#0.0]
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Several answers so far,

8000 secs and 6400 secs. There is a smaller time possible (without any pushing of cars).
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Old January 1st, 2018, 06:47 AM   #5
rwatson
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6000?
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Old January 1st, 2018, 11:04 AM   #6
ndzied1
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Quote:
Originally Posted by daba View Post
"Answer by pm"
Sorry about that. I was a little too tired from the New Years festivities. At least I didnít get it right.
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Old January 1st, 2018, 11:13 AM   #7
L D[AR2,P#0.0]
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It's not specified in the puzzle, but a car can only tow one other car using the tow rope, i.e it can't be looped from car to car effectively allowing one car to tow all the others and do it in one trip.
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Old January 1st, 2018, 12:06 PM   #8
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You almost had me but I got it figured. I'll send you a pm.
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