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Machine P produces parts twice as fast as machine Q does. Machine Q pr
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03 Jan 2024, 00:25
03 Jan 2024, 00:25
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66% (03:16) correct
33% (02:51) wrong based on 6 sessions
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Machine P produces parts twice as fast as machine Q does. Machine Q produces 100 parts of product K in n minutes. If each machine produces parts at a constant rate, how many parts of product R does machine P produce in t minutes, if each part of product R takes 3/2 times of the time taken to produce each part of product K?
Indicate all possible values.
A. 400t/3n
B. 300t/4n
C. 300t/5n
D. t/0.016n
E. t/0.0075n
Indicate all possible values.
A. 400t/3n
B. 300t/4n
C. 300t/5n
D. t/0.016n
E. t/0.0075n
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Free Materials for the GRE General Exam - Where to get it!!
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Re: Machine P produces parts twice as fast as machine Q does. Machine Q pr
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04 Feb 2024, 02:52
04 Feb 2024, 02:52
1
The answers are A and E.
Rate of Machine Q = 100 parts of product K in n minutes = 100/n per minute
--> Rate of machine P = 200 parts of product K in n minutes = 200/n per minute
Now, rate = work / time
--> Rate of Machine Q = 100/(3/2) = 200/3 parts of product R in n minutes = 200/3n per minute
& Rate of Machine P = 200/(3/2) = 400/3 parts of product R in n minutes = 400/3n per minute
Therefore, in t minutes, Machine P will produce (400/3n) * t = 400t/3n
Also, if we divide both the numerator and the denominator by 400, we get option E.
Rate of Machine Q = 100 parts of product K in n minutes = 100/n per minute
--> Rate of machine P = 200 parts of product K in n minutes = 200/n per minute
Now, rate = work / time
--> Rate of Machine Q = 100/(3/2) = 200/3 parts of product R in n minutes = 200/3n per minute
& Rate of Machine P = 200/(3/2) = 400/3 parts of product R in n minutes = 400/3n per minute
Therefore, in t minutes, Machine P will produce (400/3n) * t = 400t/3n
Also, if we divide both the numerator and the denominator by 400, we get option E.
gmatclubot
Re: Machine P produces parts twice as fast as machine Q does. Machine Q pr [#permalink]
04 Feb 2024, 02:52
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