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Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped

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Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped

by VJesus12 » Fri Sep 04, 2020 5:47 am

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Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped out of the tank at a constant rate through an outlet pipe. At what rate, in gallons per minute, is the amount of water in the tank increasing?

(1) The amount of water initially in the tank is 200 gallons.
(2) Water is pumped into the tank at a rate of 10 gallons per minute and out of the tank at a rate of 10 gallons every 212212 minutes.

Answer: B

Source: Official Guide
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Source: — Data Sufficiency |
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Re: Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pu

by deloitte247 » Sun Sep 13, 2020 9:59 am

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Rate of water increase = rate of pumping water into the tank - rate of pumping water out of the tank


Target question => At what rate, in gallons per minute is the amount of water in the tank increasing?


Statement 1 => The amount of water in the tank initially is 200 gallons
This only gives the initial capacity of the tank and not the rate of inflow or outflow of water, hence statement 1 is NOT SUFFICIENT


Statement 2 => Water is pumped into the tank at a rate of 10 gallons per minute and out of the tank at a rate of 10 gallons every 212212 minutes
Rate of pumping water into the tank = 10 gallons per 1 minute
Rate of pumping water out of the tank = 10 gallons every 212212 minute
which is 10/212212 = 4.71 gallons er 1 minute
Rate of water increase = 10 - 4.71
= 5.29 gallons per 1 minute
Statement 2 is SUFFICIENT


Statement 2 alone is SUFFICIENT,
Answer = B
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