MathDB
donkey problem

Source: AMC 10B 2022 #4

November 17, 2022
AMCAMC 102022 AMC2022 AMC 10Barithmetic sequencetroll

Problem Statement

A donkey suffers an attack of hiccups and the first hiccup happens at 4:00\text{4:00} one afternoon. Suppose that the donkey hiccups regularly every 55 seconds. At what time does the donkey’s 700th\text{700th} hiccup occur?
<spanclass=latexbold>(A)</span><span class='latex-bold'>(A) </span> 1515 seconds after 4:58\text{4:58}
<spanclass=latexbold>(B)</span><span class='latex-bold'>(B) </span> 2020 seconds after 4:58\text{4:58}
<spanclass=latexbold>(C)</span><span class='latex-bold'>(C)</span> 2525 seconds after 4:58\text{4:58}
<spanclass=latexbold>(D)</span><span class='latex-bold'>(D) </span> 3030 seconds after 4:58\text{4:58}
<spanclass=latexbold>(E)</span><span class='latex-bold'>(E) </span> 3535 seconds after 4:58\text{4:58}