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题目内容
A jogger ran x miles at a constant rate of 5 miles per hour north along a beach, rested for 15 minutes, and then ran x miles back at the same rate. If it took the jogger a total of 1.5 hours for the entire run including the time for rest, how many miles did the jogger run north?
Faucets $$X$$ and $$y$$ dispense water at their respective constant rates. Dispensing simultaneously, faucets $$X$$ and $$Y$$ fill an empty tub in 3 minutes. Faucet $$X$$, dispensing alone, takes $$\frac{3}{4}$$ as long as faucet $$y$$, dispensing alone, to fill the empty tub. Let $$x$$ and $$y$$ be the respective times, in minutes, that it takes faucets $$X$$ and $$y$$, each dispensing alone, to fill the empty tub. What are the values of $$x$$ and $$y$$?
Three pipes $$P1$$, $$P2$$ and $$P3$$, working together at their respective constant rates, can fill a tank in 6 hours. $$P1$$, and $$P2$$, working together at their respective constant rates, can fill the same tank in 8 hours. How many hours will it take $$P3$$, working alone at its constant rate, to fill this tank?
Machines $$G$$ and $$H$$ produce identical paper clips at their respective constant rates. When machine $$G$$ works alone, it takes 5 hours to produce a certain quota of paper clips. When machines $$G$$ and $$H$$ work simultaneously to produce the quota, it takes them one-third of the time that it takes for machine $$H$$, working alone, to produce the quota. When machine $$H$$ works alone, how many hours does it take to produce the quota?
Working simultaneously at their respective constant rates, pump $$P$$ and pump $$S$$ together pumped out $$\frac{2}{3}$$ of the water in a full tank in 1 hour 20 minutes. Pump $$P$$ then stopped working, and pump $$S$$, working alone at its constant rate, pumped out the rest of the water in the tank in 50 minutes. How many hours would it have taken pump $$P$$, working alone at its constant rate, to pump out all the water in the full tank?
At a certain company, 60 percent of the employees were in department $$A$$ and the remaining 40 percent were in department $$B$$. During a company reorganization, some of the employees were moved from department $$A$$ to department $$B$$, none were moved from department $$B$$ to department $$A$$, and the total number of employees remained the same. If the number of employees in department $$A$$ decreased by 30 percent as a result of the reorganization, what was the percent increase in the number of employees in department $$B$$?
In a government's current budget, 66 percent of the budget is allocated to the payment of entitlements and interest on the government's debt. If the dollar amount of the allocation for entitlements and interest on the government's debt were to remain the same, but all the remaining allocations in the budget were to be reduced by 10 percent of their dollar amounts, by what percent would the entire government budget be reduced?
For 1997 Kevin' s annual salary was equal to Edith' s annual salary.

For 1998 Kevin's annual salary was increased by $$t$$ percent of that of the preceding year and for 1999 his annual salary was increased by m percent of that of the preceding year.

For 1998 Edith's annual salary was increased by m percent of that of the preceding year and for 1999 her annual salary was increased by $$t$$ percent of that of the preceding year.

Quantity A

Kevin' s annual salary for 1999

Quantity B

Edith' s annual salary for 1999
A furniture store purchased sofas for a wholesale price of $400 each and sold most of them for a retail price of $560 each. In a summer sale, the retail price of the last few sofas was reduced by $$x$$ dollars, and they were sold at this reduced price. The store's profit from selling the last sofa was more than 15 percent of its wholesale price. Which of the following could be the value of $$ x$$ ?

Indicate all such values.
At the beginning of 2009, Kim bought 100 shares of stock in a company at a price of $31 per share. During the year, the price of the stock changed daily; the highest price was $35 per share and the lowest price was $25 per share. If Kim sold all 100 shares of stock on the same day in 2009, which of the following could be her percent profit or percent loss on the sale?

Indicate all such percent profits or percent losses.
The cost of producing 1 unit of a product at a certain manufacturing company is $0.75. According to a sales model, if each unit has a selling price of $1.00, the company expects to sell 1,000 units each month. For each $0.05 increase in the unit selling price, the company expects to see a decrease of 100 units sold each month. According to the model, which of the following could be a unit selling price at which the company would expect a profit of at least $250.00 each month? (Profit equals revenue minus cost.)

Indicate all such unit selling prices.
The degree of a polynomial in x is the greatest exponent of x when the polynomial is written as a sum of terms such as $$a_i$$$$x^i$$, where i is a positive integer and $$a_i$$, is a number. For example, the degree of $$9x^3 + 3x^5 – 100x$$ is 5. What is the degree of the polynomial$$(x+4x^3)^2$$$$(x^5-7）$$？
Near the equator, a boat traveled 17 kilometers along a straight route from point $$A$$ to point $$B$$, which is 15 kilometers north and a certain distance east of point $$A$$. The boat then traveled 12 kilometers due east from point $$B$$ to point $$C$$. The boat then traveled along a straight route from point $$C$$ back to point $$A$$. What was the total distance, in kilometers, that the boat traveled from $$A$$ to $$B$$ to $$C$$ and then back to $$A$$ ?
How many positive integers are factors of 2,200?
For how many different integer values of $$x$$ is $$\frac{4}{(x+1)}$$ an integer?
In a large gym class, the teacher plans to group the students into teams for either volleyball or baseball. The volleyball teams would consist of 6 players each, while the baseball teams would consist of 9 players each. If the teacher attempts to group the students into volleyball teams, then there will be 2 students remaining who are not on a team. If the teacher instead attempts to group the students into baseball teams, which of the following could be the number of students remaining who are not on a team?
A rectangular plastic box with inside dimensions 6 inches by 5 inches by 4 inches is 85 percent full of water and contains nothing else.Several spherical lead balls with radius 1 inch will be placed in the water until the box is at least 90 percent full but less than 95 percent full. How many of these lead balls will be placed in the water? (Note: The volume of a sphere of radius r is $$\frac{4πr^3}{3}$$.)


In the triangle, $$r$$ is greater than 0.

Quantity A

$$t$$

Quantity B

$$5$$
In a poll, 600 people answered either “acceptable" or “not acceptable" to each of two questions; 514 answered "acceptable" to the first question, and 388 answered "acceptable" to the second question.

Quantity A

The number of polled people who answered "acceptable" to the first question and answered "not acceptable" to the second question

Quantity B

213

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