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Abhi077
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16 Dec 2020, 09:58
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Machines A, B, and C produced identical bottles at different constant rates. In the first 2 hours, A alone operated and filled a part of the entire production lot; then B alone operated for 3 hours and filled another part of the entire lot, and finally, C alone operated for 4 hours and filled the rest of the entire lot. Which of the three machines filled the greatest part of the entire lot?
(1) The ratio of the constant rates at which A and B produced is 3 : 2.
(2) The ratio of the constant rates at which B and C produced is 4 : 3.
(1) The ratio of the constant rates at which A and B produced is 3 : 2.
(2) The ratio of the constant rates at which B and C produced is 4 : 3.
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16 Dec 2020, 10:36
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Actually c is the answer . With statement 1 and 2 we get the ratio of all the Maxine rates .
Once we have the ratio we know times and hence it’s sufficient to answer which one has done greater work . Although rates multiplied by time gives us answer as 12x in all three machine case , we have a definite answer that all 3 machines did equal work , no one was greater so c can be accepted as. Answer though on the contrary it may be tempting to think otherwise here
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Once we have the ratio we know times and hence it’s sufficient to answer which one has done greater work . Although rates multiplied by time gives us answer as 12x in all three machine case , we have a definite answer that all 3 machines did equal work , no one was greater so c can be accepted as. Answer though on the contrary it may be tempting to think otherwise here
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21 Dec 2020, 00:55
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We are given the following:
T(A) = 2 hours
T(B) = 3 hours
T(C) = 4 hours
Totalwork = 2Ratea + 3Rateb + 4Ratec = 1
Statement 1
a/b = 3/2 --> 2a = 3b
Clearly insufficient b/c we don't know what c's rate is
Statement 2
b/c = 4/3 --> 3b = 4c
Clearly insufficient b/c we don't know a's rate
Combined:
We know that twice the rate of a is equal to thrice the rate of b, i.e. a >b. Since thrice the rate of b is equal to four times the rate of c, we know that the rate of a is also greater than the rate of c.
a > b > c
Not really sure to be honest why I even set the totalwork formula. It would have been possible to solve either way.
T(A) = 2 hours
T(B) = 3 hours
T(C) = 4 hours
Totalwork = 2Ratea + 3Rateb + 4Ratec = 1
Statement 1
a/b = 3/2 --> 2a = 3b
Clearly insufficient b/c we don't know what c's rate is
Statement 2
b/c = 4/3 --> 3b = 4c
Clearly insufficient b/c we don't know a's rate
Combined:
We know that twice the rate of a is equal to thrice the rate of b, i.e. a >b. Since thrice the rate of b is equal to four times the rate of c, we know that the rate of a is also greater than the rate of c.
a > b > c
Not really sure to be honest why I even set the totalwork formula. It would have been possible to solve either way.
