Problem 1. Half of a number added to its third part, is eight less than the number. What is the number?

Problem 2. Three fifths of a number, plus 8, is equal to the number. What is the number?

Problem 3. Half of a number, plus a fifth of two less than the number, is four less than the number. What is the number?

Problem 4. Melissa went shopping and spent half of her money on shoes, a third on a blouse, a tenth to take her boyfriend to lunch, and she came home with $12. How much did she start out with?


Problem 5. One number is four times another. The sum of their reciprocals is 5/12. What are the two numbers?

Problem 6 If the same number is added to the numerator and denominator of 7/9 the result is 5/6. What is that number?

Problem 7. The speed of a boat in still water is 15 mi/hr. If the boat travels 8 miles downstream in the same time it takes to travel 4 miles upstream, what is the speed of the current?

Problem 8. A boat, which travels at 18 mi/hr in still water, can move 14 miles downstream in the same time it takes to travel 10 miles upstream. Find the speed of the current.

Problem 9. Train A has a speed 15 mi/hr greater than train B. If train A travels 150 miles in the same time train B travels 120 miles, what are the speeds of the two trains?

Problem 10. A train travels 30 mi/hr faster than a car. If the train covers 120 miles in the same time the car covers 80 miles, what is the speed of each of them?

Problem 11. You have exactly h hours at your disposal. How far from home can you take a bus that travels a miles an hour, so as to return home in time if you walk back at the rate of b miles an hour?

Problem 12. Carlos can do a certain job in three days, while it takes Alec six days. If they work together, how long will it take them?

Problem 13. If Jane can do a certain job in 6 hours, but it takes Ana only 4 hours, how long will it take them if they work together?

Problem 14. Two people working together can complete a job in six hours. If one of them works twice as fast as the other, how long would it take the faster one working alone?

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