Huck Finn can paint a fence in 5 hours. After some practice, Tom Sawyer can now paint the fence in 6 hours.How long would it take Huck and Tom to paint the fence together?

Answer:2.72 hoursStep-by-step explanation:Data provided:Time taken by Huck Finn to paint the fence = 5 hoursTime taken by Tom to paint the fence = 6 hoursNow,Fence painted in 1 hour by Huck Finn = [tex]\frac{1}{5}[/tex] of total fenceand,Fence painted in 1 hour by Tom = [tex]\frac{1}{6}[/tex] of total fenceTherefore,Total fence painted together by Huck and Tom in 1 hour = [tex]\frac{1}{5}[/tex]+[tex]\frac{1}{6}[/tex]orTotal fence painted together by Huck and Tom in 1 hour = [tex]\frac{5+6}{5\times6}[/tex]orTotal fence painted together by Huck and Tom in 1 hour = [tex]\frac{11}{30}[/tex]Hence,Time taken by Huck and Tom to together paint the fence =  [tex]\frac{1}{\frac{11}{30}}[/tex]= 2.72 hours