Difference between revisions of "1994 AJHSME Problems/Problem 14"

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Two children at a time can play pairball.  For <math>90</math> minutes, with only two children playing at time, five children take turns so that each one plays the same amount of time.  The number of minutes each child plays is
 
Two children at a time can play pairball.  For <math>90</math> minutes, with only two children playing at time, five children take turns so that each one plays the same amount of time.  The number of minutes each child plays is
where is the anwser ?
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<math>\text{(A)}\ 9 \qquad \text{(B)}\ 10 \qquad \text{(C)}\ 18 \qquad \text{(D)}\ 20 \qquad \text{(E)}\ 36</math>
 
<math>\text{(A)}\ 9 \qquad \text{(B)}\ 10 \qquad \text{(C)}\ 18 \qquad \text{(D)}\ 20 \qquad \text{(E)}\ 36</math>
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==Solution==
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There are <math>2 \times 90 = 180</math> minutes of total playing time. Divided equally among the five children, each child gets <math>180/5 = \boxed{\text{(E)}\ 36}</math> minutes.
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==See Also==
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{{AJHSME box|year=1994|num-b=13|num-a=15}}

Revision as of 23:50, 22 December 2012

Problem

Two children at a time can play pairball. For $90$ minutes, with only two children playing at time, five children take turns so that each one plays the same amount of time. The number of minutes each child plays is

$\text{(A)}\ 9 \qquad \text{(B)}\ 10 \qquad \text{(C)}\ 18 \qquad \text{(D)}\ 20 \qquad \text{(E)}\ 36$

Solution

There are $2 \times 90 = 180$ minutes of total playing time. Divided equally among the five children, each child gets $180/5 = \boxed{\text{(E)}\ 36}$ minutes.

See Also

1994 AJHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 13
Followed by
Problem 15
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All AJHSME/AMC 8 Problems and Solutions