2009数学竞赛题
- 提问者网友:爱唱彩虹
- 2021-05-03 09:53
- 五星知识达人网友:鱼忧
- 2021-05-03 10:42
解设每分钟来的旅客为V人,每个窗口每分钟检票P人,
排队之前有M人,同时打开7个检票口需要T分钟,则:
4 × P × 30 = 30 × V + M
5 × P × 20 = 20 × V + M
7 × P × T = T × V + M
整理得
120P=30V+M .................................................(1)
100P=20V+M .................................................(2)
(7P - V)T=M .................................................(3)
(1) - (2) 得 20P = 10 V
V = 2P ..............(4)
(4)代人(1) 得 120P = 60P +M
M = 60P ..............(5)
(4),(5)代人(3)得
(7P - 2P)T = 60P
T = (60P ) ÷ ( 5P)
T = 60 ÷ 5
T = 12