perplexus.info :: Just Math : How long did I walk from the Airport ?

How long did I walk from the Airport ? (Posted on 2002-07-02)

I was going to take a trip to my friend's house in San Jose by airplane. If my airplane had arrived on time as scheduled, my friend would drive out to pick me up from San Jose's airport. She would get to the ariport just as I would be leaving it, and drive me to her house. This way, I would come to her house at 12:00.

But as it happened, my airplane arrived at the airport 1 hour earlier. So I walked from the airport directly to my friend's house. On the way to her house, I met her driving to pick me up. I got into the car, and we drove me to the house. This way, I arrived at the house at 11:40.

How long did I spend walking? (The only thing known about my walking speed and my friend's driving speed is that they are different and they are constant.)

Submitted by vohonam

Rating: 3.8333 (6 votes)

Solution: (Hide)

If my friend was able to drive back to her house 20 minutes earlier than she was supposed to, and she was driving at the same constant speed in both directions, that means she spent 10 minutes less going each way.
So she met me ten minutes before getting to the airport, and therefore, her drive back was also ten minutes shorter.
If I had arrived at the airport an hour before my designated arrival time, but was picked up ten minutes before that same time, it follows that I spent 50 minutes walking out to meet my friend.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Solution	K Sengupta	2008-05-09 15:49:19
answer	K Sengupta	2007-03-30 10:22:28
No Subject	LA	2005-05-30 18:52:55
Solution in 6 variables	Jack Squat	2004-01-02 16:19:28
algebraic route	michael	2003-04-09 06:51:38
right !	vohonam	2002-07-04 12:09:01
re: Quick Guess Solution	Blue	2002-07-03 06:13:06
re: Quick Guess Solution	levik	2002-07-02 11:55:03
Quick Guess Solution	Nick Reed	2002-07-02 02:40:40

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