Wells_MA109_Unit 5.docx - Unit 5 Problems Application...

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Unit 5 Problems Application problems including rational equations. Set up a rational equation and then solve the following problems. 1. A positive integer is twice another. The sum of the reciprocals of the two positive integers is 3 10 . Find the two integers. Let x=smaller integer Let 2x=the larger integer 1/x+1/2=3/10 I’m going to multiply both sides of the equation by 10x 10+5=3x 15=3x X=5
2. A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1 8 . Find the two integers. 2x and x are the numbers 1/x-1/2x=1/8 2/2x-1/2x=1/8 1/2x=1/8 2x=8
3. James can jog twice as fast as he can walk. He was able to jog the first 9 miles to his grandmother’s house, but then he tired and walked the remaining 1.5 miles. If the total trip took 2 hours, then what was his average jogging speed?