1. working at different rates

2. Working alone, Dick can paint the house in 10 days.
Working alone, Jane can paint the house in 6 days.
How many days will it take them to paint the house
working together?

3. Working alone, Dick can paint the house in 10 days.
Working alone, Jane can paint the house in 6 days.
How many days will it take them to paint the house
working together?

4. IN ONE DAY Working alone, Dick can paint the house in 10 days.
Working alone, Jane can paint the house in 6 days.
IN ONE DAY
He paints 1/10 of the house and She paints 1/6 of the house

5. IN TWO DAYS Working alone, Dick can paint the house in 10 days.
Working alone, Jane can paint the house in 6 days.
IN TWO DAYS
He paints 2/10 of the house and She paints 2/6 of the house

6. IN THREE DAYS Working alone, Dick can paint the house in 10 days.
Working alone, Jane can paint the house in 6 days.
IN THREE DAYS
He paints 3/10 of the house and She paints 3/6 of the house

7. Let x = the number of days it will take them to
Working alone, Dick can paint the house in 10 days.
Working alone, Jane can paint the house in 6 days.
Let x = the number of days it will take them to
paint the whole house working together.
IN THREE DAYS
He paints 3/10 of the house and She paints 3/6 of the house

8. IN x DAYS Working alone, Dick can paint the house in 10 days.
Working alone, Jane can paint the house in 6 days.
IN x DAYS
He paints x /10 of the house and She paints x /6 of the house

9. IN x DAYS Working alone, Dick can paint the house in 10 days.
Working alone, Jane can paint the house in 6 days.
The fraction of the house that he paints + The fraction of the house that she paints =1
IN x DAYS
He paints x /10 of the house and She paints x /6 of the house

10. IN x DAYS Working alone, Dick can paint the house in 10 days.
Working alone, Jane can paint the house in 6 days.
The fraction of the house that he paints + The fraction of the house that she paints =1
The equation: x/ x/6 = 1
IN x DAYS
He paints x /10 of the house and She paints x /6 of the house

11. The equation: x/ x/6 = 1

12. The equation: x/ x/6 = 1
After 3 ¾ days
the job is
finished.