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Machines A, B, and C each manufacture parts at their respective consta
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24 Oct 2023, 02:18
24 Oct 2023, 02:18
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Question Stats:
42% (01:49) correct
57% (02:20) wrong based on 19 sessions
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Machines A, B, and C each manufacture parts at their respective constant rates. The ratio of Machine A’s constant rate to Machine B’s constant rate is rp and the ratio of Machine B’s constant rate to Machine C’s constant rate is rq. It is known that \(r_p < r_q < 1\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Rate at which Machine C manufactures parts |
Rate at which Machine A manufactures parts |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: Machines A, B, and C each manufacture parts at their respective consta
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26 Nov 2023, 08:35
26 Nov 2023, 08:35
2
Assuming rp=ra/rb and rq=rb/rc, where ra, rb and rc are the rates of machines A,B and C respectively
We know that both rp and rq are lesser than 1, so in both cases the denominator must be greater than the numerator.
So, considering rp<1, then ra<rb
Considering rq<1, then rb<rc
Combining both inequalities, ra<rb<rc, thus rate of machine C is the highest, so Option A is the correct answer
We know that both rp and rq are lesser than 1, so in both cases the denominator must be greater than the numerator.
So, considering rp<1, then ra<rb
Considering rq<1, then rb<rc
Combining both inequalities, ra<rb<rc, thus rate of machine C is the highest, so Option A is the correct answer
gmatclubot
Re: Machines A, B, and C each manufacture parts at their respective consta [#permalink]
26 Nov 2023, 08:35
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