SOLUTION: You can paint a room in 8 hours.Your dad can paint the same room in 6 hours .If you decide to paint the Room together,to the nearest minute,how long will it take to paint the room?

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Question 1058776: You can paint a room in 8 hours.Your dad can paint the same room in 6 hours .If you decide to paint the Room together,to the nearest minute,how long will it take to paint the room?
Found 3 solutions by Alan3354, addingup, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
You can paint a room in 8 hours.Your dad can paint the same room in 6 hours .If you decide to paint the Room together,to the nearest minute,how long will it take to paint the room?
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You paint 1/8 room per hour
Your dad paints 1/6 room per hour.
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Can you do the rest?
If not, look up any of 1000's of similar problems solved on this site.
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
First let's add up what they can do individually in one hour:
1/6+1/8 = 8/48+6/48 =14/48 = 7/24
Now let t stand for the time it takes them to complete the job together:
In 1 hour: 7/24 = 1/t
Flip the equation, and you get:
t = 24/7 = 3.43 hours or 3 hours and (60*.43 = 25.8) 26 minutes.
John
Answer by ikleyn(52754)   (Show Source): You can put this solution on YOUR website!
.
You can paint a room in 8 hours. Your dad can paint the same room in 6 hours .If you decide to paint the Room together,
to the nearest minute,how long will it take to paint the room?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Working alone, you can paint  of the area per hour.

Working alone, your dad can paint  of the area per hour.

Working together, you and your dad can paint  =  =  of the area per hour.

Hence, it will take  hours for you and your dad to complete the job working together.

For a wide variety of similar solved joint-work problems with detailed explanations see the lessons
    - Using Fractions to solve word problems on joint work,
    - Solving more complicated word problems on joint work,
    - Selected joint-work word problems from the archive
in this site.

Read them and get be trained in solving joint-work problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Rate of work and joint work problems" of the section "Word problems".


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