Answer:
2.72 hours
Step-by-step explanation:
Data provided:
Time taken by Huck Finn to paint the fence = 5 hours
Time taken by Tom to paint the fence = 6 hours
Now,
Fence painted in 1 hour by Huck Finn = [tex]\frac{1}{5}[/tex] of total fence
and,
Fence painted in 1 hour by Tom = [tex]\frac{1}{6}[/tex] of total fence
Therefore,
Total fence painted together by Huck and Tom in 1 hour = [tex]\frac{1}{5}[/tex]+[tex]\frac{1}{6}[/tex]
or
Total fence painted together by Huck and Tom in 1 hour = [tex]\frac{5+6}{5\times6}[/tex]
or
Total 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
