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04 May 2017, 05:07
Kudos
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B
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Difficulty:
45%
(medium)
Question Stats:
63% (01:41) correct
37%
(01:51)
wrong
based on 284
sessions
History
Date
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A certain pipe carries water between two tanks such that the height of the water in the first tank is decreasing at a rate of 3 inches per second. If the area of the base of the first tank is 3 times as large the area of the base of the second tank, the tank to which water is flowing, at what rate is the height of the water in the second tank increasing?
A. 27 inches per second
B. 9 inches per second
C. 3 inches per second
D. 1 inch per second
E. 1/3 of an inch per second
A. 27 inches per second
B. 9 inches per second
C. 3 inches per second
D. 1 inch per second
E. 1/3 of an inch per second
04 May 2017, 05:48
Kudos
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Tank from which water is being carried is Tank A
Tank to which the water is being carried to is Tank B
Given infomation : Tank A(area of base) is 3 times (area of base) of Tank B,
Water is flowing from Tank A to Tank B
Since the height of the water in Tank A is decreasing at a rate of 3 inches per second,
and Tank A has 3 times the area, the height of increase in Tank B will be 3 times the height decrease in Tank A
Hence, Tank B will increase at a rate of 9 inches/second(Option B)
Tank to which the water is being carried to is Tank B
Given infomation : Tank A(area of base) is 3 times (area of base) of Tank B,
Water is flowing from Tank A to Tank B
Since the height of the water in Tank A is decreasing at a rate of 3 inches per second,
and Tank A has 3 times the area, the height of increase in Tank B will be 3 times the height decrease in Tank A
Hence, Tank B will increase at a rate of 9 inches/second(Option B)
06 May 2017, 17:58
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Bunuel
We are given that the height of the water is decreasing at a rate of 3 inches per second. The water is flowing into another tank that has a base area that is 3 times smaller than that of the first tank. Since the base area of the tank into which the water is flowing is 3 times smaller than the base of the other tank, the rate of the increase in water height will be 3 times the rate that the water height decreases in the other tank. Thus, if the water height is decreasing 3 inches per second in the first tank, it will increase 3 x 3 = 9 inches per second in the second tank.
Answer: B
