Art of Problem Solving

1994 AJHSME Problems/Problem 14: Difference between revisions

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==Solution==
==Solution==
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. Note that the answer key says C, but the answer is actually <math>\boxed{\text{(E)}}</math>, please notice this.
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.


==See Also==
==See Also==
{{AJHSME box|year=1994|num-b=13|num-a=15}}
{{AJHSME box|year=1994|num-b=13|num-a=15}}
{{MAA Notice}}
{{MAA Notice}}

Latest revision as of 00:06, 7 November 2018

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
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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