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Difficulty:
65%
(hard)
Question Stats:
65% (02:55) correct
35%
(03:04)
wrong
based on 119
sessions
History
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Smith and Elexandra can do work in 2 hours. Smith would need 2 Franks to do same work in 2 hours. If Elexandra and Frank worked together it would take them 4 hours. How many hours would it take Elexandra, Smith and Frank together?
A) 12/7 hours
B) 6 hours
C) 18/7 hours
D) 12 hours
E) 7/12 hours
A) 12/7 hours
B) 6 hours
C) 18/7 hours
D) 12 hours
E) 7/12 hours
07 Jul 2024, 08:01
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Smith and Elexandra can do work in 2 hours.
\(\frac{1}{s}+\frac{1}{e}=\frac{1}{2}\)
Smith would need 2 Franks to do same work in 2 hours
\(\frac{1}{s}+\frac{2}{f}=\frac{1}{2}\)
\(\frac{1}{s}+\frac{1}{e}=\frac{1}{s}+\frac{2}{f}\)
\(\frac{1}{e}=\frac{2}{f}\)
Elexandra and Frank worked together it would take them 4 hours.
\(\frac{1}{e}+\frac{1}{f}=\frac{1}{4}\)
\(\frac{2}{f}+\frac{1}{f}=\frac{1}{4}\)
\(\frac{3}{f}=\frac{1}{4}\)
\(\frac{1}{f}=\frac{1}{12}\)
How many hours would it take Elexandra, Smith and Frank together?
\(\frac{1}{s}+\frac{1}{e}+\frac{1}{f}=\frac{1}{x}\)
\((\frac{1}{s}+\frac{1}{e})+\frac{1}{f}=\frac{1}{x}\)
\(\frac{1}{2}+\frac{1}{12}=\frac{1}{x}\)
\(\frac{1}{2}+\frac{1}{12}=\frac{7}{12}\)
\(x=\frac{12}{7}\)
Answer is A
\(\frac{1}{s}+\frac{1}{e}=\frac{1}{2}\)
Smith would need 2 Franks to do same work in 2 hours
\(\frac{1}{s}+\frac{2}{f}=\frac{1}{2}\)
\(\frac{1}{s}+\frac{1}{e}=\frac{1}{s}+\frac{2}{f}\)
\(\frac{1}{e}=\frac{2}{f}\)
Elexandra and Frank worked together it would take them 4 hours.
\(\frac{1}{e}+\frac{1}{f}=\frac{1}{4}\)
\(\frac{2}{f}+\frac{1}{f}=\frac{1}{4}\)
\(\frac{3}{f}=\frac{1}{4}\)
\(\frac{1}{f}=\frac{1}{12}\)
How many hours would it take Elexandra, Smith and Frank together?
\(\frac{1}{s}+\frac{1}{e}+\frac{1}{f}=\frac{1}{x}\)
\((\frac{1}{s}+\frac{1}{e})+\frac{1}{f}=\frac{1}{x}\)
\(\frac{1}{2}+\frac{1}{12}=\frac{1}{x}\)
\(\frac{1}{2}+\frac{1}{12}=\frac{7}{12}\)
\(x=\frac{12}{7}\)
Answer is A
07 Jul 2024, 10:35
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Harsha
Enthu about all things GMAT | Exploring the GMAT space | My website: gmatanchor.com
GMAT-Club-Forum-ywt3nvta.png [ 215.26 KiB | Viewed 275 times ]
Harsha
Enthu about all things GMAT | Exploring the GMAT space | My website: gmatanchor.com
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