guddo
Beginning at noon yesterday, water was added to a partially filled water tank at the constant rate of 500 gallons per hour. When there was a total of 2,000 gallons of water in the tank, no more was added. Was there more than 1,000 gallons of water in the tank at noon yesterday?
(1) There were 1,700 gallons of water in the tank at 1:00 yesterday afternoon.
(2) There were 2,000 gallons of water in the tank at 3:00 yesterday afternoon.
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Beginning at noon yesterday, water was added to a partially filled water tank at the constant rate of 500 gallons per hour. When there was a total of 2,000 gallons of water in the tank, no more was added. Was there more than 1,000 gallons of water in the tank at noon yesterday?(1) There were 1,700 gallons of water in the tank at 1:00 yesterday afternoon.
Since 500 gallons of water were added in the hour from noon to 1:00 pm, there were 1,700 - 500 = 1,200 gallons of water in the tank at noon, which is more than 1,000 gallons. Sufficient.
(2) There were 2,000 gallons of water in the tank at 3:00 yesterday afternoon.
If the 2,000 gallons mark was reached at 12:30 pm, meaning the water addition lasted only half an hour, then the initial amount in the tank was 2,000 - 1/2*500 = 1,750 gallons, more than 1,000 gallons. However, if the 2,000 gallons mark was reached at 3:00 pm, meaning the water addition lasted three hours, then the initial amount in the tank was 2,000 - 3*500 = 500 gallons, less than 1,000 gallons. Not sufficient.
Answer: A.