Difference between revisions of "2013 AMC 8 Problems/Problem 11"

(Solution)
(Solution)
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You have to find the hours spent on each day. For people who do not know how to do this, here is a slower way to do it (you will be able to do quickly once you learn it):
 
You have to find the hours spent on each day. For people who do not know how to do this, here is a slower way to do it (you will be able to do quickly once you learn it):
  
On Monday, he spent 5 hours. So, 5x = 2 miles. x = <math>\frac{2}{5}</math> hours.
+
On Monday, he spent 5 hours. So, 5x = 2 miles. x = <math>\frac{2}{5} hours</math>.
  
 
==See Also==
 
==See Also==
 
{{AMC8 box|year=2013|num-b=10|num-a=12}}
 
{{AMC8 box|year=2013|num-b=10|num-a=12}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 17:54, 27 November 2013

Problem

Ted's grandfather used his treadmill on 3 days this week. He went 2 miles each day. On Monday he jogged at a speed of 5 miles per hour. He walked at the rate of 3 miles per hour on Wednesday and at 4 miles per hour on Friday. If Grandfather had always walked at 4 miles per hour, he would have spent less time on the treadmill. How many minutes less?

$\textbf{(A)}\ 1 \qquad \textbf{(B)}\ 2 \qquad \textbf{(C)}\ 3 \qquad \textbf{(D)}\ 4 \qquad \textbf{(E)}\ 5$

Solution

You have to find the hours spent on each day. For people who do not know how to do this, here is a slower way to do it (you will be able to do quickly once you learn it):

On Monday, he spent 5 hours. So, 5x = 2 miles. x = $\frac{2}{5} hours$.

See Also

2013 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 10
Followed by
Problem 12
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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