On Monday morning a certain machine ran continuously at a uniform rate to fill a production order. At what time did it completely fill the order that morning?
(1) The machine began filling the order at 9:30 a.m.
(2) The machine had filled 1/2 of the order by 10:30 a.m. and 5/6 of the order by 11:10 a.m.
OA B
Source: Official Guide
On Monday morning a certain machine ran continuously at a un
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Statement 1: It alone is certainly not sufficient for we do not know the rate of the machine.BTGmoderatorDC wrote:On Monday morning a certain machine ran continuously at a uniform rate to fill a production order. At what time did it completely fill the order that morning?
(1) The machine began filling the order at 9:30 a.m.
(2) The machine had filled 1/2 of the order by 10:30 a.m. and 5/6 of the order by 11:10 a.m.
OA B
Source: Official Guide
Statement 2: The machine had filled 1/2 of the order by 10:30 a.m. and 5/6 of the order by 11:10 a.m.
=> Between 11:10 am to 10:30 am, i.e., in 40 minutes, the machine filled 5/6 - 1/2 = 1/3 of the order
The part of the order remaining after 11:10 am = 1 - 5/6 = 1/6 of the order
=> It will take another 40/2 minutes = 20 minutes to fill the order. So, the order is complete by 11:10 + 20" = 11:30 am.
The correct answer: B
Hope this helps!
-Jay
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Here's a similar question to practice with: https://www.beatthegmat.com/on-wednesda ... 01683.html
Cheers,
Brent
Cheers,
Brent
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Although a careful reading guarantees choosing the right answer without ANY need of writing,BTGmoderatorDC wrote:On Monday morning a certain machine ran continuously at a uniform rate to fill a production order. At what time did it completely fill the order that morning?
(1) The machine began filling the order at 9:30 a.m.
(2) The machine had filled 1/2 of the order by 10:30 a.m. and 5/6 of the order by 11:10 a.m.
Source: Official Guide
let´s use this easy problem to practice UNITS CONTROL, one of our method´s most powerful tools!
\[?\,\,:\,\,{\text{time}}\,\,{\text{it}}\,\,{\text{finished}}\,\,{\text{the}}\,\,{\text{order}}\]
\[\left( 1 \right)\,\,{\text{If}}\,\,{\text{it}}\,\,\left\{ \begin{gathered}
{\text{takes}}\,\,30\min \,\,\, \Rightarrow \,\,\,? = 10\,\,{\text{a}}{\text{.m}}{\text{.}} \hfill \\
{\text{takes}}\,\,90\min \,\,\, \Rightarrow \,\,\,? = 11\,\,{\text{a}}{\text{.m}}{\text{.}} \hfill \\
\end{gathered} \right.\]\[\left( 2 \right)\,\,\, \Rightarrow \,\,\frac{{\,\,\left( {\frac{5}{6} - \frac{1}{2} = } \right)\,\,\,\frac{1}{3}\,\,{\text{order}}\,\,}}{{40\,\,\min }}\]
\[\frac{1}{2}\,\,{\text{order}}\,\,\left( {\frac{{40\,\,\min }}{{\frac{1}{3}\,\,{\text{order}}}}} \right) = 60\,\,\min \,\,\,\left( {{\text{for}}\,\,{\text{half - order}}} \right)\,\,\]
\[?\,\, = \,\,10{\text{h}}30\min + 60\min \,\,\,\, \Rightarrow \,\,\,\,{\text{SUFF}}.\]
This solution follows the notations and rationale taught in the GMATH method.
Regards,
fskilnik.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
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