Difference between revisions of "2022 AMC 10B Problems/Problem 4"

(Created page with "==Problem== A donkey suffers an attack of hiccups and the first hiccup happens at <math>4:00</math> one afternoon. Suppose that the donkey hiccups regularly every <math>5</mat...")
 
(See Also)
Line 20: Line 20:
  
 
== See Also ==
 
== See Also ==
{{AMC10 box|year=2022|ab=B|num-b=7|num-a=3}}
+
{{AMC10 box|year=2022|ab=B|num-b=3|num-a=5}}
{{AMC12 box|year=2022|ab=B|num-b=5|num-a=5}}
 
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 14:06, 17 November 2022

Problem

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?

$\textbf{(A) }15 \text{ seconds after } 4:58$

$\textbf{(B) }20 \text{ seconds after } 4:58$

$\textbf{(C) }25 \text{ seconds after } 4:58$

$\textbf{(D) }30 \text{ seconds after } 4:58$

$\textbf{(E) }35 \text{ seconds after } 4:58$

Solution

Since the donkey hiccupped the 1st hiccup at $4:00$, he hiccupped for $5 \cdot (700-1) = 3495$ seconds, which is $58$ minutes and $15$ seconds, so the answer is $\boxed{\textbf{(A) }15 \text{ seconds after } 4:58}$.

~MrThinker

See Also

2022 AMC 10B (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png