Question

Melinda paints 7/8 of a wall in 1 1/6 hours. What part of a wall does Melinda paint in 1 minute.

Answer 1

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.

Answer 2

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

`(7)/(8)` of a wall --------------->
`1 (1)/(6)` hours

x ------------------------------>
`(1)/(60)`

Note: we have the following conversion:

1 hour = 60 minutes

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

`x = ((1)/(60))/(1(1)/(6))*(7)/(8)`

Rewriting we have:

`x = ((1)/(60))/((7)/(6))*(7)/(8)`

`x = (6)/(420)*(7)/(8)`

`x=(42)/(3360)`

`x=(1)/(80)`

Answer:

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

`x=(1)/(80)`