May Day Party
05/01/2001
BY K.H. "WICKS" WICKREMASINGHE
Cathy was driving her daughter, Kathy, to the Advanced Packaging May Day party. Cathy planned to be there 15 minutes early (to straighten the ribbons in Kathy's hair) by driving 60 mph on the highway and 30 mph on the 20-mile stretch of side road. "I am sure we missed the exit," muttered Cathy.
"Yes, Mom. We passed it awhile ago," said Kathy. When asked why she didn't mention it, Kathy replied "And have you go on as usual about backseat drivers?"
By increasing her speed by 10 mph on both the highway and the side road, Cathy was able to go to the next exit, turn around, drive to the correct exit and arrive with 9 minutes to spare.
How far after the correct exit did Cathy realize that she missed the exit, and how far was it from that point to the next exit if both these distances were integral values?
Grand Prize Winners
Congratulations to Keith Van Liere of Johnson Controls Inc. (Holland, Mich.) for solving the Shopping Spree challenge, and to Robert L. Szewc of My-te Products (Indianapolis) for solving CrossNumber 60.
CrossNumber 62
Across
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1. 17 Across x 21 Down
3. 13 Across + (2 x 9 Down)
6. 27 Down squared
8. 14 Down - 4 Down
10. (22 Down + 31 Down) big Pi 2
11. (22 Down x 11 Down) big Pi 2
13. (27 Down + 21 Down) big Pi 2
14. Square root of 19 Down
15. (4 Down + 10 Across) big Pi 2
17. (22 Across + 22 Down) big Pi 3
18. 2 x 15 Across
20. 2 x 4 Down
22. Prime
24. 3 x 22 Across
26. 21 Down squared
28. (24 Across + 10 Across) big Pi 2
29. 33 Across - 24 Across
31. 2 Down squared
32. 29 Across + (2 x 18 Across)
33. 11 Down squared
Down
1. 22 Across x 22 Down
2. 17 Across + 22 Across
4. (22 Down + 27 Down) big Pi 2
5. 11 Down x 21 Down
6. 2 Down x 22 Down
7. 2 x 20 Across
9. 1 Across + 21 Down
11. (13 Across + 21 Down) big Pi 2
12. Prime
14. 15 Across + 31 Down
16. 4 Down x 15 Across
19. (6 Across - 22 Across) big Pi 2
21. (2 Down + 13 Across) big Pi 2
22. (4 Down + 22 Across) big Pi 2
23. 21 Down x 27 Down
25. Prime
27. (2 Down + 22 Across) big Pi 2
28. 4 Down x 11 Down
30. 3 x 22 Down
31. 3 x 2 Down
Contest Rules: All entries must be received by May 25, 2001. The winners of the word puzzle and CrossNumber (can be the same person) will be drawn from all correct entries. Fax all entries to 847-634-4240. All entries must include name, complete address, company affiliation and daytime phone number to be considered.
Solutions to March's Puzzles
CrossNumber 60
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Answer: Benjamin
Solution: If a husband bought X items and a wife Y items, they paid $X2 and $Y2. Then X2 - Y2 = 105. I.e., (X + Y)(X - Y) = 105. The factors of 105 are 35, 3; 21, 5; and 15, 7.
If (X + Y)(X - Y) = 35 x 3; X = 19 and Y = 16
If (X + Y)(X - Y) = 21 x 5; X = 13 and Y = 8
If (X + Y)(X - Y) = 15 x 7; X = 11 and Y = 4
Because Charles bought 7 more items than Bernice, he bought 11 items and she bought 4 items. Because Benjamin bought 11 more items than Cora, be bought 19 items and she bought 8 items. That leaves Althea with 16 items and Alfred with 13 items. Althea's husband is the man who bought 19 items.