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PAINTING Sydney can paint a 60-square foot wall in 40 minutes. Working with her friend Cleveland, the two of them can paint the wall in 25 minutes. How long would it take Cleveland to do the job himself?

Short Answer

Expert verified

It will take2003minutes for Cleveland to paint the wall.

Step by step solution

01

Step 1. Write.

Write the given equation in terms of equation.

Let xbe the number of minutes Cleveland take to paint the wall, such that,

140+1x=125

02

Step 2. Multiplication.

Multiply numerator and denominator of 140by xand multiply numerator and denominator of 1xby 40.

1x40x+140x40=125

03

Step 3. Simplify.

Simplify the above obtained equation.

x40x+4040x=12540+x40x=1252540+x=40x1000+25x=40x1000=15xx=100015=2003

Therefore, it will take2003 minutes for Cleveland to paint the wall.

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