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  <id>2219</id>
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  <last_published>2010-08-07T12:35:20</last_published>
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&lt;p&gt;Inspector Remorse estimates that he can solve the average murder in $x$ hours, a bank robbery in half that time, and a car theft in one third of the time he takes to solve a bank robbery.&lt;/p&gt;
&lt;div&gt;How much time would he expect to take in solving two murders, six car thefts and four bank robberies?&lt;/div&gt;
&lt;div&gt; &lt;/div&gt;
&lt;div&gt;If you liked this problem, &lt;a href=&quot;http://nrich.maths.org/6708&quot;&gt;here is an NRICH task&lt;/a&gt; which challenges you to use similar mathematical ideas.  &lt;/div&gt;
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&lt;p&gt;Two murders take $2x$ hours, $6$ car thefts: $6 \times
\frac{x}{6}$, 4 bank robberies: $4 \times \frac{x}{2}$&lt;/p&gt;
&lt;p&gt;Total = $2x + 2x + x = 5x$.&lt;/p&gt;
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  <difficulty>3</difficulty>
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  <title>Weekly Problem 49 - 2011</title>
  <description></description>
  <spec_group>Algebra
    <specifier>Algebra - generally</specifier>
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  <spec_group>Secondary Mapping Document
    <specifier>Equations and formulae LS</specifier>
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  <spec_group>Secondary Mapping Document
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