Difference between revisions of "2011 AMC 8 Problems/Problem 5"
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| − | What time was it <math>2011</math> minutes after midnight on January 1, 2011? | + | ==Problem== |
| + | What time was it <math>2011</math> minutes after midnight on January 1, 2011? | ||
| − | <math>\ | + | <math>\textbf{(A)}\ \text{January 1 at 9:31PM}</math> |
| − | <math>\ | + | <math>\textbf{(B)}\ \text{January 1 at 11:51PM}</math> |
| − | <math>\ | + | <math>\textbf{(C)}\ \text{January 2 at 3:11AM}</math> |
| − | <math>\ | + | <math>\textbf{(D)}\ \text{January 2 at 9:31AM}</math> |
| − | <math>\ | + | <math>\textbf{(E)}\ \text{January 2 at 6:01PM}</math> |
==Solution== | ==Solution== | ||
| + | |||
| + | There are <math>60</math> minutes in an hour. <math>2011/60=33\text{r}31,</math> or <math>33</math> hours and <math>31</math> minutes. There are <math>24</math> hours in a day, so the time is <math>9</math> hours and <math>31</math> minutes after midnight on January 2, 2011. <math>\Rightarrow\boxed{\textbf{(D)}\text{ January 2 at 9:31AM}}</math> | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2011|num-b=4|num-a=6}} | {{AMC8 box|year=2011|num-b=4|num-a=6}} | ||
| + | {{MAA Notice}} | ||
Revision as of 15:03, 30 March 2019
Problem
What time was it 
minutes after midnight on January 1, 2011?
Solution
There are 
minutes in an hour. 
or 
hours and 
minutes. There are 
hours in a day, so the time is 
hours and minutes after midnight on January 2, 2011. 
See Also
| 2011 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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 AJHSME/AMC 8 Problems and Solutions | ||
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