If Jane can paint a house in 4 hours and tom can paint house in 6 hours how long will it take for them to paint the house together?

Answer 1

Always begin by making fractions out of the 2 numbers putting the small number over the larger and adding **

(4/6+6/6)/2people=4hours/2people (always divide the smaller number by the number of people)

(10/6)/2people=2 hrs

(10/6)X1/2people (when dividing a fraction, you invert the number you're dividing by; /2 becomes multiplying by 1/2), therefore

(10/6)X1/2people= 2 hrs

10/12=2 hrs (means you're only going to mow 10/12 in 2 hours so

2 hrs is 10/12 of what #?

2hrs/ 10/12=X

2 X 12/10=X(when dividing a fraction, you invert the number you're dividing by and multiply;

2/1X12/10=24/10

24/10=2 4/10 or 2 and 2/5 hours or 2hours and 24 minutes

**You could use the fractions 6/4 and 4/4 using 6hours/2people but pick one way and stick with it.