SOLUTION: if thy work together mandla and geoge can paint a room in three- fifths of the time that it takes mandla to paint it by himself george takes 5 hours to paint the room by himself de

Question 1128062: if thy work together mandla and geoge can paint a room in three- fifths of the time that it takes mandla to paint it by himself george takes 5 hours to paint the room by himself determine how long it takes mandla to paint the room by himself
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
George's rate is 1 room/5 hr = 1/5 rooms per hour
Working together, their combined rate is 1/5 + r where r = Mandla's rate
And this combined rate is 5/3 of Mandla's rate
So we need to solve the following for r:
1/5 + r = 5/3r
r = 3/10
Thus Mandla can paint 3 rooms in 10 hours, or 10/3 hours per room
Check: 1/5 + 3/10 = 5/3*3/10 -> 2/10 + 3/10 = 1/2

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