Mentschen Puzzle #14: Taking the Wellness Program Seriously by Morey Waltuck

Dave and Rob are friends that live in the same town.  They take the FJMC Wellness Program seriously and agreed to jog every day at the same time. On a particular day they each left their respective homes at the exact same time and jogged toward each other but at different paces.  When they passed each other for the first time, they happened to be exactly 700 yards from Dave’s home.
Each continued jogging at a constant pace to the opposite friend’s home, then, turned around and jogged back toward each other again. When they passed for the second time, they were exactly 300 yards from Rob’s home.
How far apart are their homes?
Try to solve the puzzle.  And, when you do, e-mail the answer along with your synagogue and city and get your name listed in next month’s issue. (Please don’t put your solution in the “Leave a Reply” for others to see)
Arnie Miller (miller.arnold@comcast.net)
Morey Waltuck (mwaltuck@comcast.net).
We received only one response for puzzle #13 and he had 16 answers, all with the digits in the correct order!
It was from repeat contributor Moshe Adler, Temple Beth EL, West Palm Beach, FL 
Here are some of the possible solutions. An asterisk means the solution is in the order 5772.
1 5^((7-7)*2) *
2 -5-7+7*2 *
3 5-7+7-2 *
4 5-(-7/7+2) *
5 5*(-7/7+2) *
6 5-7/7+2 *
7 5+7-7+2 *
8 5+7/7+2 *
9 2*5-7/7
10 5*7/7*2 *
11 5^2-7-7
12 5+(7^2)/7
12 (5-7)+(7*2) *
14 -5*7+7^2 *
15 5*(7/7+2) *
16 (5-7/7)^2 *
17 5+7+7-2 *
18 2^5-7-7
21 5+7+7+2 *
24 2*5+7+7
25 5^2+7-7
26 5+7+7*2 *
30 5*7-7+2 *
31 2^5-7/7
32 2^5+7-7
33 2^5+7/7
35 5/7*7^2 *
36 (5+7/7)^2 *
37 -5-7+7^2 *
39 5^2+7+7
40 5*7+7-2 *
42 -5+7*7-2 *
44 5*7+7+2 *
46 -5+7*7+2 *
47 5-7+7^2 *
49 5*7+7*2 *
51 -5+7+7^2 *
52 5+7*7-2 *
56 5+7*7+2 *
61 5+7+7^2 *
64 2^(7/7+5)
74 5^2+7*7
81 2^5+7*7
84 5*7+7^2 *
93 -5+7*7*2 *

1 Comment

Filed under Heartfelt Judaism

One Response to Mentschen Puzzle #14: Taking the Wellness Program Seriously by Morey Waltuck

  1. Pingback: Mensa Mentschen Puzzle #15 by Arnie Miller, The Mensa Math Mensch | Mentschen

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