Math Homework Help Please?

Sally's rate, s = 1/4 jobs / hour

John rate, j = 1/6 jobs /hour

1 job = 1/4 t + 1/6 t = (3/12 + 2/12) t = 5/12 t

t = 12/5 hours = 2.4 hours

Sally paints 1/4 the house in 1 hour. John paints 1/6 the house in one hour. Together they paint 1/4 +1/6 = 3/12 + 2/12 = 5/12 of the house each hour; so it will take 12/5 = 2.4 hours to paint together.

Sally can paint 1/4 of the house in an hour. Simlilarly, we know John paints at a rate of just 1/6 of a house per hour.

So together they can paint at a rate of 1/4 + 1/6 = 5/12 of a house per hour.

Take reciprocal, you get 12/5 hours per house = 2.4 hours per house

2 hours = 120 minutes

0.4 hours = 24 minutes

So they take 144 minutes to paint the house together.

Sally- paints 1/4 of the house in 1 hour

John- paints 1/6 of the house in 1 hour

1/4x + 1/6y = 1 (1 whole house)

4/12x + 2/12y = 1

4x + 2y =12

2y= 12 - 4x

y= 6 - 2x

I did a question like this a while ago but i forgot what to sub this equation into. but i do know that this much is right

Hope you can figure the rest outt

Best of Luck.

This sounds like one of those mean/median/mode problems. I worked it out and got 5 hours if they work together.

You are basically finding the average. first, add the number of hours Sally painted to the number of hours John painted.

4+6=10

Then, to find how many hours it would take them together, divide the total number of hours by the number of people.

10/2=5

Does that make sense to you?

Time both speed combined could finish in hours (x):

x/4 + x/6 = 1

3x + 2x = 12

5x = 12

x = 12/5 or 2 2/5

Answer: 2 2/5 hrs or 2.4 hrs or 2 hrs & 24 min

Proof:

2.4 hrs(1/4 per hr + 1/6 per hr) = 1 house

2.4 hrs(3/12 per hr + 2/12 per hr) = 1 house

2.4 hrs(5/12 per hr) = 1 house

12/12 house = 1 house

1 house = 1 house

x/4 + x/6 = 1

3x + 2x = 12

5x = 12

x = 12/5 = 2.4 hr

2.4 hr = 2 hr 24 min

5 hours

I'm almost sure it has to do with fractions. I tried to work it out and its like really hard!

im just thinking here but possibly 5 hours you can tak the average probably or if there are two people it takes half the time for each person but idk what are you learning?