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17 Apr 2025, 00:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
65% (02:10) correct
35%
(02:07)
wrong
based on 132
sessions
History
Date
Time
Result
Not Attempted Yet
Two water tanks, X and Y, were drained simultaneously. If X contained 30 more gallons of water than Y, and both tanks became empty at the same time, how long did it take the tanks to empty?
(1) For ever gallon drained from tank Y, 2 gallons were drained from tank X.
(2) Tank Y was drained at a constant rate of 20 gallons per hour.
(1) For ever gallon drained from tank Y, 2 gallons were drained from tank X.
(2) Tank Y was drained at a constant rate of 20 gallons per hour.
17 Apr 2025, 01:11
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Let capacity of tank Y be y
Capacity of tank X = y+30
Time to empty = ?
Statement 1
For ever gallon drained from tank Y, 2 gallons were drained from tank X
Both tanks empty at the same time
This means capacity of X = 2y
2y = y+30
y =30
Capacity of tank X = y+30 = 60
We don't know the rate at which water is being drained
Insufficient
Statement 2
Rate of drainage for y = 20G/h
But we don't know the capacity of Y
Insufficient
Combined, we have capacity of Y as well as the drainage speed. Sufficient
Capacity of tank X = y+30
Time to empty = ?
Statement 1
For ever gallon drained from tank Y, 2 gallons were drained from tank X
Both tanks empty at the same time
This means capacity of X = 2y
2y = y+30
y =30
Capacity of tank X = y+30 = 60
We don't know the rate at which water is being drained
Insufficient
Statement 2
Rate of drainage for y = 20G/h
But we don't know the capacity of Y
Insufficient
Combined, we have capacity of Y as well as the drainage speed. Sufficient
Bunuel
17 Apr 2025, 01:12
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Bunuel
X = 30+Y
Question: Time to drain tanks = ?
To answer this we need the rates of drain and capacity of tank OR the difference between rates to check how long does it take to empty 30 gallo
Statement 1:For ever gallon drained from tank Y, 2 gallons were drained from tank X.
i.e. Rate of X is twice the Rate of Y
i.e. the capacities of tanks were 60 and 30 respectively only then the two tanks will be emptied together
NOT SUFFICIENT
Statement 2: Rate of Y = 20
but the capacities are unknown hence
NOT SUFFICIENT
Combining the statements
Rate of Y = 20 and Capacity of Y = 30 i.e. Time = 30/20 = 1.5 hour
SUFFICIENT
Answer; Option C
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