Question

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 $700$ th hiccup occur?

15 seconds after $4:58$

20 seconds after $4:58$

25 seconds after $4:58$

30 seconds after $4:58$

35 seconds after $4:58$

Answer: A

Concepts:arithmetic sequence unit conversion

Difficulty rating: 870

Solution:

Since we want to look at the $700$ th hiccup, we need to look at time that is $699$ hiccups after the first one.

This would be $699\cdot 5 = 3495$ seconds. Note that $3495 = 60\cdot 58+15,$ so the time would be $58$ minutes and $15$ seconds after the first hiccup. This would therefore be $4:58$ and $15$ seconds.

Thus, the answer is A .

2022 AMC 10B Problem 4

Answer: A

Difficulty rating: 870

Solution:

Problem 4 in Other Years