Anita can paint the shed in 5 hours. If Kris helps her, they can paint the shed in 3 hours. How long would it take Kris to paint the shed alone? ---- Anita rate = 1/5 job/hr Together rate = 1/3 job/hr Kris rate = 1/x job/hr Equation: rate + rate = together rate
1/x + 1/5 = 1/3 ---- Multiply thru by 15x to get: 15 + 3x = 5x 2x = 15 x = 7.5 hrs (time for Kris to do the job alone)