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The overall volume of a water tank is g. If the inlet valve is open for a minute, x volume of water will be added to the tank; If the discharge valve is open for a minute, y volume of water will be removed from the tank (y>x). If the tank is filled with water at first, then in how many minutes will the water volume in the tank drop to a half if the inlet valve and discharge valve are both open? Give your answer with x, y and g.
A printer can print 10 to 15 pages for every minute. Person A printed for 3 minutes and 12 seconds with the printer, while Person B printed for 4 minutes and 48 seconds with the printer. Which of the following statements must be true? Indicate all such statements.
When Mark carries a speed tester for feet, he moves 93 feet per minute; when Mark carries a speed tester for hands, he moves 90 feet per minute. In how many seconds will he moves on feet 0.25 feet more than he moves on hands? _____seconds
Joey drove from home to work at an average speed of 60 miles per hour, and he drove the same distance from work to home at an average speed of 40 miles per hour. If his total driving time was 2.5 hours, what was the distance, in miles, Joey drove from home to work?
$$\frac{x}{y}- \frac{w}{z}=2$$ Quantity A The time it took car G to travel $$x$$ miles at the average rate of $$y$$ miles per hour Quantity B The time it took car H to travel $$w$$ miles at the average rate of $$z$$ miles per hour
A and B are 500 miles away. A car starts off from A at a speed of 80 miles per hour; an hour later, another car starts off from B at a speed of 70 miles per hour. By the time they meet, how far has the first car travelled?
A, M and B are three train stations. M is somewhere between A and B. Two trucks start off from A and B station at the same time. The truck starting from station A travels at 60 miles per hour, while the truck from station B travels at 40 miles per hour. They arrive at station M at the same time. What is the ratio of the distance from station A to station M to the distance from station M to station B? Give your answer with fraction.
The triangle is inscribed in the semi-circle. If AB=12, BC=10, what is the area of the shaded area?
A caterer has 20 liters of fruit punch that is 12 percent grape juice, by volume. How many liters of fruit punch that is 20 percent grape juice, by volume, must be added to the original 20 liters of fruit punch in order to create fruit punch that is 15 percent grape juice, by volume? _____liters
9 ml of Solution A is 30% salt. When mixed with 18 ml of Solution B, the mixed solution is 25% salt. Solution B is how many percent salt? Give your answer in percentage. _____%
Each employee of a certain company is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department X and is $ 35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees in the company? Indicate all such amounts.
Someone borrows $15,000 at an annual interest rate of 8% and returns the same amount of money at the end of every month for 12 consecutive months, starting from the end of January. By which month will the amount of money left to be returned become less than 10,000?
A charity and a company raises funds together. However, the funds the company is supposed to raise follows the rules below. If they have to raise $68,000 in total, then how much money does the charity need to raise?
A total of $60,000 was invested for onemonth in a new money market account that paid simple annual interest at the rate of r percent. If the investment earned $450 in interest for the month, what`s the value of r?
Someone puts away S in a bank and collects interest that compound annually with an interest rate of r%. Quantity A Principal plus interest after two years Quantity B S(1+2r%)
For 7 soccer ball teams, each of them has to play with all the other teams. However, to decide which team wins, every two teams have to play 3 rounds and the team that win for the most times will ultimately win. How many rounds of game does each team have to play?
Point O is the center of the circle. Quantity A x+y Quantity B 90
Triangle ABC is inscribed in the circle centered at O. Quantity A Five times the area of triangular region ABC Quantity B The area of the circular region
The circle has center O and radius $$x$$. Quantity A The perimeter of triangle PRT Quantity B $$4x$$
C is the midpoint of semicircle ABCD. Quantity A The area of region ABD Quantity B The area of region ACD