# I got the fifth post!

Rein
Posers and Puzzles 28 Sep '02 23:11
1. 28 Sep '02 23:11
But seriously, folks, is this one going to be as useful / used as the
newbies forum? Anyone with any actual POSERS or PUZZLES, perhaps?
Just wondering.

--Rein
2. 28 Sep '02 23:21
This is a subtle hint that all the silly logic problems we're doing
shouldn't be put in the General forum! Ok.

So, any more &quot;off-topic&quot; puzzles, guys?

--Rein
3. Chris
29 Sep '02 01:10
Sort off. We both like the puzzles that were cropping up in the
general forum and thought it would be wise to have a dedicated forum.

Here's a quickie...

I travel from my home, up a straight road to my work at 30mph. How
fast would I need to drive home in order to make my average speed
for the round trip 60mph?

-Chris
4. 29 Sep '02 02:38
I suppose 90mph would be too easy an answer...

J1: a to b = 30
J2: b to a = 90

(30+90)/2 = 60
5. Chris
29 Sep '02 02:42
Yep far too easy. Travelling back at 90mph would give you an
average speed of 45mph... which is a big hint as to the solution...

6. Acolyte
29 Sep '02 09:54
You can't unless you take a different route home. If you went straight home, the round trip
would only be twice the distance of your trip into work, so for the round trip to be completed
at double the average speed of the trip into work, it would have to take the same amount of
time as the trip into work, leaving you no time at all to get home.
7. bbarr
Chief Justice
29 Sep '02 10:00
That is correct. If the trip to work was 30 miles, it would take an hour
to get to work. Since the round trip would then be 60 miles, you would
have to make the round trip in a hour to average 60 miles per hour
round trip. But you've already spent an hour gettin to work, you big
slacker. The best you can do is approach the limit of a 60 mph
average.
8. Acolyte
29 Sep '02 09:55
9. Jacko
Knock, Knock...?
29 Sep '02 12:34
120mph you said that 9omph was ave. of 45mph so ave. speed of
60 would be 120mph.

David
10. Jacko
Knock, Knock...?
29 Sep '02 12:37
yes thats it 30mph is a mile every 2 mins. and 120 mph would be a
mile in 30 seconds giving you an average speed of 1 mile a minute
(60mph)

wow i got it!!!

David
11. Acolyte
29 Sep '02 16:29
12. 30 Sep '02 12:36
Suppose the distance from home to work is 60 miles. Then it would
take you 60 / 30 mph = 2 hours to travel to you work.
If you then go back home the total distance you travel is 120 miles. If
you do this at an averge of 60 mph it would take 120 / 60 = 2 hours!

So the conclusion is that you have to travel back home in zero
seconds, so your speed should be infinite!?
13. Acolyte
30 Sep '02 14:17
14. 03 Oct '02 18:13
I've read all the responses, and I think Andrew (latex bishop) was
correct all along. It is 90mph and NOT 120 mph. Here's why:

You are looking for an average of 60mph.
Both distances are the same.
You travel towork at 30mph UNDER the average desired.
Therefor, you must travel home at 30 mph OVER the average desired.

Anyone, is this flawed? I think Andrew's formula proves it to be correct.

Coyote
15. Acolyte