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You and your friend are painting the walls in your apartment. You estimate that there is 1000 square feet of space to be painted. You paint at a rate of 4 square feet per minute and your friend paint at a rate of 3 square feet per minute. Your friend shows up to help you paint 45 minutes after you've already started painting

AWrite an equation that gives the total number of square feet y as a function of the number of minutes X it takes to paint all the walls
BHow long will it take you and your friend finish painting? Round your answer to the nearest minute.

Verified Answer :

after 45 minutes you will have painted 445=180 square feet.

so the total number of painted area, y, is:

y=180+x(3+4) after the 45 minutes

where x is the number of minutes AFTER THE 45 minutes:

if y is 1000 then

1000=180+x7
820=x7
x=117.14

so 117 minutes, or one hour and 57 minutes.

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