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 Minimum time (Posted on 2008-12-04)
N people can walk or drive in a single two-seater car to go from city A to city B. What is the minimum time required to do so?

Assume:
1) the speed of the car: c
2) the speed of a walking person: p
3) the distance between cities: D
4) all persons start out from A at the same time t = 0.
5) all persons arrive in city B at the same time t = T.
6) nobody stands around idly waiting.
7) the car never holds more than two people

 See The Solution Submitted by pcbouhid Rating: 4.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: No calculus involved | Comment 2 of 5 |
(In reply to No calculus involved by Steve Herman)

An excellent analysis.  I had failed to realize the insight that each walker must spend an equal walking/riding distribution as any other walker in order to arrive at the same time as each other.

Bravo.

Great puzzle too, pcbouhid.

Edited on December 6, 2008, 1:10 pm
 Posted by Charlie on 2008-12-06 13:06:57

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