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题目内容
Student A, B, and C together need 6 hours to finish a task, while A and B together need 8 hours to finish the same task. How many hours will it take for Student C to finish the task alone?
If it takes P and S together 1 hour and 20 minutes to fill $$\frac{2}{3}$$ of a swimming pool, and another 50 minutes for S alone to fill the rest, how many hours will it take if P is supposed to fill the entire swimming pool alone?
A certain factory has 8 identical machines that process a certain chemical product at the same constant rate. If it takes 40 hours for 5 of the machines, working simultaneously at their constant rate, to process a totaI of one ton of the product, how many hours does it take the 8 machines, working simultaneously at their constant rate, to process a total of one ton of the product?

_____hours
Printer A, B, and C together need 9 hours to finish a task, while B and C together need 12 hours to finish the same task. How many hours will it take for printer A to finish the task alone?
It takes 7 hours to drain off the water tank, while 10 hours to fill it up. For a full water tank, both the water-discharge valve and fill-in valve open for an hour first. Afterwards, the fill-in valve is closed. If so, then how many hours will it still take to drain off the water tank?

Give your answer as a decimal.
To finish a task, A and B could first work 4.5 hours together to complete $$\frac{3}{4}$$ of the task, while A alone work another 6 hours to complete the rest. In this case, how many hours will it take if B alone finish the entire task?
In a driving competition, Jeff and Dennis drove the same course at average speeds of 51 miles per hour and 54 miles per hour, respectively. If it took Jeff 40 minutes to drive the course, how long did it take Dennis?

Give your answer to the nearest 0.1.
By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
A mixture of 12 ounces of vinegar and oil is 40 percent vinegar, where all of the measurements are by weight. How many ounces of oil must be added to the mixture to produce a new mixture that is only 25 percent vinegar?

Give your answer as a decimal.
Among three bottles of sugar water R, S and M, the sugar in R is $$\frac{1}{4}$$ of the sugar in S, while the sugar in S is $$\frac{5}{2}$$ of the sugar in M.

Quantity A

The total weight of sugar in R and S combined

Quantity B

3 times of the weight of sugar in M
At a sale, the cost of each tie was reduced by 20 percent and the cost of each belt was reduced by 30 percent.

Quantity A

The percent reduction on the total cost of 1 tie and 2 belts

Quantity B

25%
At A cornfield, super seed accounts for 17 percent of all seed, while at B cornfield,super seed accounts for 11 percent of all seed. Between cornfield A and B, there aremore seed, in total, in cornfield B than in cornfield A .

Quantity A: The percentage of super seed among all seed in cornfield A and B

Quantity B: 14%
To obtain an FHA mortgage for $50,000 or more, the home buyer must have a down payment equal to 4 percent of the first $25,000 of the mortgage amount and 5 percent of the portion in excess of $25,000. At settlement the buyers pays a mortgage-insurance premium equal to 3 percent of the mortgage amount. What is the maximum FHA mortgage, if any, a buyer can obtain if the buyer has only $6,000 available for the down payment and insurance premium?
A certain money market account that had a balance of $48,000 during all of last month earned $360 in interest for the month. At what simple annual interest rate did the account earn interest last month?
If someone puts away $92,000 in a bank with an annual interest rate of r%, and earns $920 in the first month, then what is the value of r? Give your answer as percent.

_____%
Vladimir invested $10,000 for one year. He invested some of the amount at 4 percent simple annual interest and the rest of the amount at 6 percent simple annual interest.

If the total interest earned for the year was between $450 and $550, which of the following statements must be true?.

Indicate all such statements.
If A is the initial amount put into an account, R is the annual percentage of interest written as a decimal, and the interest compounds annually, then which of the following would be an expression, in terms of A and R, for the interest accrued in three years?
If $5,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Diana invested $61,293 in an account with a fixed annual percent of interest, compounding quarterly. At the end of five full years, she had $76,662.25 in principal plus interest. Approximately what was the annual percent rate of interest for this account?

Quantity A

The number different line segments that can be formed when connecting 6 different points on a circle

Quantity B

15

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