# High School Challenge

## Week Ending 10-10-99

### Congratulations to Fawntia Fowler from the Sheridan Japanese Program in Sheridan, OR. Fawntia wins the Casio CFX-9850G Color Graphing calculator.

The Track

A running track has straight parallel sides and semicircular ends. It measures Y long as you go along the inside edge of the inside lane. The innermost lane is Lane 1. The next lane to it is Lane 2. Each lane is one meter wide. Assume that the finish line is at the center of one of the straight sides and perpendicular to that straight side of the track. The race we are discussing is a one-lap race that requires runners to stay in their respective lanes for the entire race so a staggered start is necessary to compensate for the radii of the circles in the ends. How far ahead of the starting mark for Lane 1 should the starting mark for Lane 2 be placed so both runners cover the same distance as they make their lap?

### Correct Solutions:

1. Michael Moyer. The Way Home School, Carlisle, PA
2. Lakhaphat Lin Aigu. Jurong SS, Singapore
3. Erlend Langbach. Skagerak International School, Sandefjord, Norway
4. Eric Hoke. Wayland HS, Wayland MA
5. Lisa Schechner. Manorhaven ES, Port Washington, NY
6. Brendon Hansen. Newport Harbor HS, Newport Beach, CA
7. Mark Bicket. North HS, Edmond, OK
8. Kellie Chan. Jackson Heights MS, Oviedo, FL
9. Kevin Chan. Seminole HS, Sanford, FL
10. John Xia. Torrance HS, Torrance, CA
11. Paul Ramirez. Miami Sunset HS, Miami, FL
12. Peter Du. Sir Winston Churchill HS, Calgary, AB, Canada
13. Kelli Bass. Suwannee HS, Live Oak, FL
14. Eric Mansfield. Maplewood MS, Maplewood, NJ
15. Jeffrey Mo. University ES, Calgary, AB, Canada
16. Mike Munson, Newport Harbor HS, Newport Beach, CA
17. Haamed Ghazvini. Sonora HS, La Habra, CA
18. Kyle Bentfield. Sauk Centre HS, Sauk Centre, MN
20. Jongmin Baek, Hyde JHS, Cupertino, CA
21. Jan Nordbotten. Cathedral School, Bergen, Norway
22. Maiyuran Arumugam. James Ruse Agricultural HS, Sydney, Australia
23. Jessica Tindall. Van JHS, Van, TX
24. Anand David. New Life Academy, Woodbury, MN
25. Ryan Franklin. Newark Valley HS, Newark Valley, NY
26. Steve Balamut. Sauk Centre HS, Sauk Centre, MN
27. Chorthip Peeraphatdit. Fox Valley Lutheran HS, Appleton, WI
28. Nathaniel Major. Homeschool, Paso Robles, CA
29. Chris Miller. Alleghany HS, Sparta, NC
30. Ruopeng Zhu. Jackson Academy, Jackson, MS
31. Elena Udovina. The Agnon MS, Beechwood, OH
32. Rachel Hunter. St. Bernadette School, Silver Spring, MD
33. Christian Bech. Lo-Ellen Park SS, Sudbury, ON, Canada
34. Alex Aldridge. Bishop Moore HS, Orlando, FL
35. Daniel Gee. Stone Valley MS, Alamo, CA
36. Emil Chow. Shorewood HS, Shoreline, WA
37. Raju Krishnamoorthy. Cupertino JHS, Cupertino CA
38. Tulika Kashyap. Kendriya Vidyalaya RK Puram, New Delhi,India
40. Samuel Timothy Dy. St. Stephen's HS, Manila, Philippines
41. Marc Rainier Dy Ngo. Uno HS, Manila, Philippines
42. Simon Rubinstein-Salzedo. Homestead HS, Cupertino, CA
43. Travis Herzog. Communications Arts HS, San Antonio, TX
44. Jamaal Neal. Jackson Heights MS, Oviedo, FL
45. Tasha Turko. McCreary HS, McCreary, MB, Canada
46. Brett White. Greenwood Lakes MS, Lake Mary, FL
47. Tao Chen. Miller MS, San Jose, CA
48. Ying Gao. Charter HS of Wilmington, Wilmington, DE
50. Michael Basile. Oviedo HS, Oviedo, FL
51. Carolyn Daly. Newark Valley HS, Newark Valley, NY
52. Ben Conlee. Albuquerque Academy, Albuquerque, NM
53. James Ventura. Forest HS, Ocala, FL
54. Nathan Batten. St. John HS, St. John, KS
55. Chris Ostendorf. Sauk Centre HS, Sauk Centre, MN
56. Katey Bottelberghe. Sauk Centre HS, Sauk Centre, MN
57. John Morkel. Crawford College Lonehill, Johannesburg, South Africa
58. Ben Wegenhart. Madeira JHS, Cincinnati, OH
59. Jason Juang. Sycamore JHS, Cincinnati, OH
60. Daniel Ferrando. Merritt Island HS, Merritt Island, FL
61. Jason Chiu. Laramie HS, Laramie, WY
62. Al Hartwig. Waupun HS, Waupun, WI
63. Michael Balkman. Fox Valley Lutheran HS, Appleton, WI
64. Brad Hill. Newport Harbor HS, Newport Beach, CA
65. Sebastian Jansson. Färila Skola, Farila, Sweden
66. Andrew Jame. Crawford College Lonehill, Johannesburg, South Africa
67. Karin Rilby. Sigrid Rudebecks Gymansium, Gothenburg, Sweden
68. Amy Gieske. Sauk Centre PS, Sauk Centre, MN
69. Marc Brooker. Crawford College Lonehill, Johannesburg, South Africa
70. Veronica Roede Tonstad. Skagerak School, Sandefjord, Norway
71. C.J. McGuire. Forest HS, Ocala, FL
72. Mike Birchmeier. Worthington Kilbourne HS, Columbus, OH
73. Daniel Yu. Randolph MS, Randolph, NJ
74. Divya Jesuraj. Academy of Notre Dame, Tyngsboro, MA
75. Graham Snow. Broadview MS, Danbury, CT
76. Britta Lundin. Astoria HS, Astoria, OR
77. Danny Hilton. Newport Harbor HS, Newport Beach, CA
78. Niteesh Bharara. Vestavia Hills HS, Vestavia, AL
79. Brian Bodnarik. Oviedo HS, Oviedo FL
80. Crissa Montague. Corry Area HS, Corry, PA
81. Catherine Harrison. The Mount School, York, England, UK
82. Hasan Merali. LoEllen Park SS, Sudbury, Ontario, Canada
83. Jimmy Tang. White Hall JHS, White Hall, AR
84. Mike Apple. Louisa County HS, Mineral, VA
85. Derek Blankenship. Louisa County HS, Mineral, VA
86. Mike Cook. Louisa County HS, Mineral, VA
87. Tiffany Adams. Louisa County HS, Mineral, VA
88. Cecilia Chan. J.P.Taravella HS, Coral Springs, FL
89. Michael Guzik. Guzik Learning Center, San Diego, CA
90. Justin Shih. Clear Lake HS, Houston TX
91. Cristina Domnisoru. Orono HS, Orono, ME
92. Andrea Duchac. Waupun HS, Waupun, WI
93. Dan Moyer. Newport Harbor HS, Newport Beach, CA
94. Dustin Bitroff. Westview SS, Maple Ridge, BC, Canada
95. Nicki Renaud. Westview SS, Maple Ridge, BC, Canada
96. Matthew Ince. Homeschooled, Arnold, MO
97. Maxim Rapoport. George Washington HS, Philadelphia, PA
98. Lindsey Errico. Newport Harbor HS, Newport Beach, CA