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HMMT 十一月 2023 · 冲刺赛 · 第 1 题

HMMT November 2023 — Guts Round — Problem 1

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [5] The formula to convert Celsius to Fahrenheit is ◦ ◦ F = 1 . 8 · C + 32 . ◦ In Celsius, it is 10 warmer in New York right now than in Boston. In Fahrenheit, how much warmer is it in New York than in Boston?
解析
  1. [5] The formula to convert Celsius to Fahrenheit is ◦ ◦ F = 1 . 8 · C + 32 . ◦ In Celsius, it is 10 warmer in New York right now than in Boston. In Fahrenheit, how much warmer is it in New York than in Boston? Proposed by: Rishabh Das ◦ Answer: 18 Solution: Let x and y be the temperatures in New York and Boston, respectively, in Fahrenheit. Then x − y = 10, so we compute (1 . 8 · x + 32) − (1 . 8 · y + 32) = 1 . 8 · ( x − y ) = 18 .