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555-605 Level|   Word Problems|            
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Bunuel
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Bunuel
If the capacity of tank X is less than the capacity of tank Y and both tanks begin to fill at the same time, which tank will be filled first?

(1) Tank X is filled at a constant rate of 1.5 liters per minute.
(2) Tank Y is filled at a constant rate of 120 liters per hour.


DS21243

Asked: If the capacity of tank X is less than the capacity of tank Y and both tanks begin to fill at the same time, which tank will be filled first?

(1) Tank X is filled at a constant rate of 1.5 liters per minute.
Tank X is filled at a constant rate of 90 liters per hour.
Since rate of filling of tank Y is unknown
NOT SUFFICIENT

(2) Tank Y is filled at a constant rate of 120 liters per hour.
Since rate of filling of tank X is unknown
NOT SUFFICIENT

(1) +(2)
(1) Tank X is filled at a constant rate of 1.5 liters per minute.
Tank X is filled at a constant rate of 90 liters per hour.
(2) Tank Y is filled at a constant rate of 120 liters per hour.
The capacity of tank X is less than the capacity of tank Y and both tanks begin to fill at the same time
But the filling rate of tank X is also less than the filling rate of tank Y
Case 1: If capacity of tank X is 100 litres and capacity of tank Y is 120 litres.
Tank Y will be filled first
Case 1: If capacity of tank X is 90 litres and capacity of tank Y is 150 litres.
Tank X will be filled first
NOT SUFFICIENT

IMO E
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E.

Given:
Capacity for tank X < Capacity for tank Y
which tank will be filled first X or Y. Need a Definite answer

Statement I. Rate for tank X = 1.5 L/min or 90 L/hour
we don't know the capacity for X to find time need to fill X and no details about Y to determine which will be filled first. Insfficient A & D gone

Statement II. Rate for tank Y = 120 L/hour
we don't know the capacity for Y to find time need to fill Y and no details about X to determine which will be filled first. Insfficient B gone

Lets combine: Rate for filling tansk X & Y are available but tanks' capacity is not given to find actual time. Insufficient


Hence E.
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since we don't get any information regarding the original capacities of the tanks X and Y we can't really say the number which tank fills the first hence the answer is E
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I have a doubt, given everything is same, but if the rate of filling X is faster than Y and X has lesser capacity then Y, we would be getting the answer as C, since then in every case X will be filled before Y. please let me know if I am wrong
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033
I have a doubt, given everything is same, but if the rate of filling X is faster than Y and X has lesser capacity then Y, we would be getting the answer as C, since then in every case X will be filled before Y. please let me know if I am wrong

Yes, in this case the answer would be C.
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Bunuel
033
I have a doubt, given everything is same, but if the rate of filling X is faster than Y and X has lesser capacity then Y, we would be getting the answer as C, since then in every case X will be filled before Y. please let me know if I am wrong
Yes, in this case the answer would be C.
­Can we say that it is not given to us if both tanks have any possible drainage also and so even in this case both statements are not sufficient? Bunuel
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PReciSioN
­Can we say that it is not given to us if both tanks have any possible drainage also and so even in this case both statements are not sufficient? Bunuel
­

I would interpret "(1) Tank X is filled at a constant rate of 1.5 liters per minute." to mean that the net filling rate, regardless of any draining mechanism, is consistently at 1.5 liters per minute. Hence, there's no need to consider drainage in this context.
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Bunuel
PReciSioN
­Can we say that it is not given to us if both tanks have any possible drainage also and so even in this case both statements are not sufficient? Bunuel
­

I would interpret "(1) Tank X is filled at a constant rate of 1.5 liters per minute." to mean that the net filling rate, regardless of any draining mechanism, is consistently at 1.5 liters per minute. Hence, there's no need to consider drainage in this context.
­Yes, that makes sense. Thanks!
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