Answer :

1h = 60m 

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7/8w=(1+1/6)h

7/8w=(6/6+1/6)h

7/8w=7/6*60m

7/8w=(7*6*10*m)/6

7/8w=70m

m=(7/8w)/70

m=1/80w

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In 1 minute Melinda paints 1/80 of the wall.

For this case we can make the following rule of three:

[tex] \frac{7}{8} [/tex] of a wall ---------------> [tex] 1 \frac{1}{6} [/tex] hours

x ------------------------------> [tex] \frac{1}{60} [/tex]

Note: we have the following conversion:

1 hour = 60 minutes

From here, we must clear the value of x we have then:

[tex] x = \frac{\frac{1}{60}}{1\frac{1}{6}}*\frac{7}{8} [/tex]

Rewriting we have:

[tex] x = \frac{\frac{1}{60}}{\frac{7}{6}}*\frac{7}{8} [/tex]

[tex] x = \frac{6}{420}*\frac{7}{8} [/tex]

[tex] x=\frac{42}{3360} [/tex]

[tex] x=\frac{1}{80} [/tex]

Answer:

A part of a wall that Melinda paints in 1 minute is:

[tex] x=\frac{1}{80} [/tex]