Its takes paul 3 hours to lcean the house alone. it take bob to 4 hours. How long will it take if they do it t

Question

Show all your work. I like equations.

How long will they do it together*

Answer 1

It could take a lifetime if they fall in love...

Now go do your own homework...:-)

Answer 2

Paul's speed=1/3 house/hour
Bob's speed=1/4 house/hour
combined speed=1/3+1/4=7/12 house/hour
The time it takes to clean the house is =1/(7/12)=12/7=1 5/7 hours

Answer 3

Paul cleans at a rate of 1/3 house per hour.
Bob cleans at a rate of 1/4 house per hour.

Together they clean at the rate of 1/3 + 1/4 house per hour or 7/12 house per hour.

So they can clean 1 house in 12/7 hours = 1 hour, 42.86 minutes.

Answer 4

pauls work rate is 1/3 house per hour
bob's is 1/4 house jper hour
x is the number of hours they work together
1/3x +1/4x =1 (1 meaning the whole house)
get common den.
4/12x +3/12x = 1
mult by 12 to get rid of fractions
4x + 3x = 12
7x = 12
x = 12/7
x = 1 5/7 hour
5/7 *60 ....1 hour 42.9 minutes

Answer 5

Unbeknownst to poor Paul, Bob is actually straight, and has been happily dating the freaky-looking girl who does piercings down at the local Hot Topic for 4 months. He misunderstood Paul when he asked to "move in together", thinking that their relationship was that of roommates, not partners.

Paul, struck dumb by the sudden revelation, decides to move out after the awkward moment and is currently looking for another apartment in the downtown Atlanta area.

The cleaning of the house takes 4 hours, since Bob was forced to do it alone.

Answer 6

It will take take 7 hour if they do it together(3 hours+4 hours=7hours)

Answer 7

5 hours i think