2022 AMC 10 B

Complete problem set with solutions and individual problem pages

Problem 3 Easy

A donkey suffers an attack of hiccups and the first hiccup happens at 4:00 one afternoon. Suppose that the donkey hiccups regularly every 5 seconds. At what time does the donkey's 700^{\text{th}} hiccup occur?

  • A.

    15 seconds after 4:58

  • B.

    20 seconds after 4:58

  • C.

    25 seconds after 4:58

  • D.

    30 seconds after 4:58

  • E.

    35 seconds after 4:58

Answer:A

The first hiccup at 4 pm needs to be counted. So the 700^{\text{th}} hiccup will occur after 5\times (700-1)=3495 seconds, or 58 minutes and 15 seconds, which will be 15 seconds after 4:58.

Related Problems
Problem 1 2022 AMC 10 B
Problem 2 2022 AMC 10 B
Problem 4 2022 AMC 10 B
Problem 5 2022 AMC 10 B
Think Academy Powered by ChatGPT