Difference between revisions of "2016 AMC 8 Problems/Problem 1"

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===Solution 3===
 
===Solution 3===
11 hours 5 min = (11 * 60) + 5 min  = 665 min, therefore  
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11 hours 5 min = <math>(11 \cdot 60) + 5 \text{min} = 665 \text{min}</math>, therefore  
 
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<math>\boxed{{(C) }   
 
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Revision as of 22:00, 3 January 2023

Problem

The longest professional tennis match ever played lasted a total of $11$ hours and $5$ minutes. How many minutes was this?

$\textbf{(A) }605\qquad\textbf{(B) }655\qquad\textbf{(C) }665\qquad\textbf{(D) }1005\qquad \textbf{(E) }1105$

Solutions

Solution 1

It is best to split 11 hours and 5 minutes into 2 parts, one of 11 hours and another of 5 minutes. We know that there is $60$ minutes in a hour. Therefore, there are $11 \cdot 60 = 660$ minutes in 11 hours. Adding the second part(the 5 minutes) we get $660 + 5 = \boxed{\textbf{(C)}\ 665}$.

Solution 2

The best method comes when you remember your multiplication tables. Thus trivial, we get our answer of $\boxed{{(C) }    665}$.

Solution 3

11 hours 5 min = $(11 \cdot 60) + 5 \text{min}  = 665 \text{min}$, therefore $\boxed{{(C) }   }$.

Carmen

Video Solution

https://www.youtube.com/watch?v=LqnQQcUVJmA (has questions 1-5)

https://youtu.be/1cu8fT2UJCw

~savannahsolver

See Also

2016 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
First Problem
Followed by
Problem 2
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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