Algebra Problem
• A positive integer is twice another. The sum of the reciprocals of the two positive integers is. Find the two integers.
• A positive integer is twice another. The difference of the reciprocals of the two positive integers is Find the two integers.
• John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmother's house, but then he tired and walked the remaining 2 miles. If the total trip took 0.9 hours, then what was his average jogging speed?
• A bus averages 2 miles per hour faster than a motorcycle. If the bus travels 165 miles in the same time it takes the motorcycle to travel 155 miles, then what is the speed of each?
• Jane can paint the office by herself in 7 hours. Working with an associate, she can paint the office in 3 hours. How long would it take her associate to do it working alone?
The response should include a reference list. One-inch margins, Using Times New Roman 12 pnt font, double-space and APA style of writing and citations.