Question

It would take Steve 4 hours to paint a room. If Andre helps him, they can finish painting the room in 3 hours. How long would Andre take to paint the room by himself?

Answer 1

12 hours

Explanation:

Given data

Steve= 4 hours

Steve and Andrea= 3 hours

Applying the combined work formula

1/A+1/B= 1/T

1/4+1/B= 1/3

solve for B

B+4/4B= 1/3

cross multiply

3(B+4)= 4B

3B+12= 4B

12= 4B-3B

12= B

Hence Andrea will spend 12 hours alone