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18 votes
Rakha studies 1 1/2 hours per day for 4 days a week. Her brotherstudies 3/4 hour per day for 6 days a week. Who spends more timeon studies?

User Rob MacEachern
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1 Answer

5 votes
5 votes

\begin{gathered} \text{For Rakha:} \\ 1(1)/(2)\text{hrs/day for 4days implies that:} \\ \text{She spends: (}(3)/(2)*4)\text{ hrs on studies} \\ \text{Rakha spends }(12)/(2)=6\text{hrs on studies} \end{gathered}
\begin{gathered} \text{For Rakha's brother:} \\ (3)/(4)\text{hrs/day for 6days implies that:} \\ He\text{ spends: (}(3)/(4)*6)hrs\text{ on studies} \\ \text{Therefore, He spends }(18)/(4)=4.5\text{hrs on studies} \end{gathered}

Hence, Rakha spends more time on studies.

User Steve Klabnik
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