On average, Ryan can finish a puzzle in 3 hours but, depending on the difficulty of the puzzle, his time can vary Let x represent the maximum and minimum time

Answer:Ryan's maximum time to complete a puzzle is 5 hoursRyan's minimum time to complete a puzzle is 1 hourStep-by-step explanation:The complete question isOn average, Ryan can finish a puzzle in 3 hours but, depending on the difficulty of the puzzle, his time can vary from the average by 2 hours. Which absolute value equation can be used to calculate Ryan's maximum and minimum time to complete a puzzle? Let x represent the maximum and minimum timewe know thatThe absolute value of the difference between x and the average must be equal to 2so[tex]\left|x-3\right|=2[/tex]Solve the absolute valueFirst case (positive case)[tex]+(x-3)=2[/tex][tex]x=2+3\\x=5[/tex]Second case (negative case)[tex]-(x-3)=2[/tex]Multiply by -1 both sides[tex](x-3)=-2[/tex][tex]x=-2+3\\x=1[/tex]thereforeRyan's maximum time to complete a puzzle is 5 hoursRyan's minimum time to complete a puzzle is 1 hour