A manufacturing plant periodically opens a large valve at the top of a tank to pump water into the tank for use in a manufacturing process. When the valve is opened, water is pumped into the tank at a rate of 75 gallons per minute. Another valve, at the bottom of the tank, sends water out of the tank to an assembly line at a rate of 24 gallons per minute. Both valves are opened simultaneously at 7:30 am and begin filling the empty tank. At what time, to the nearest minute, will the tank be filled to its 600-gallon capacity? 

What is the greatest possible absolute difference between the median and mean of a list of 10 positive integers that are at most 20? Express your answer as a decimal to the nearest tenth.

Ben and Dan are two of the members on the school’s chess team. In a tournament against their rival team, Ben played exactly 1 out of every 4 games. Dan, who played more games, played 14 games. What is the largest number of games the team could have played?

The trapezoid ABCD has \(\widehat{A}=\widehat{B}=90^o\), \(AB^2=AD\times BC\) and \(AC^2+BD^2=64\). Find the greatest possible area of the trapezoid ABCD.

Maria saw that 7 pencils would cost her 30¢ more than 5 pencils would. What is the price of 8 pencils?