Eli can paint a home in 4hrs,Tim can paint the same home in 6hrs,how long will take if both paint it together?

Question

Eli can paint a home in 4hrs,Tim can paint the same home in 6hrs,how long will take if both paint it together?

Answer 1

simpily in 2 hours

Answer 2

Eli rate: 1 home in 4 hours or 1/4

Tim rate: 1 home in 6 hours or 1/6

Add the rates

1/4 + 1/6 = 1/x

LCD = 24x - multiply to clear the denominators

6x + 4x = 24

10x = 24

x = 2.4 hours

Answer 3

Using the method demonstrated in the movie 'Little Big League', these problems are solved by using the formula a*b divided by a+b

a*b=4*6=24

a+b=4+6=10

a*b divided by a+b = 24/10

24/10 hours, 2.4 hours.  Remembering that an hour has 60 minutes, .4 hours is 24 minutes (.4*60).

2 hours 24 minutes.

_/

Edit:  Sheesh.  You'd think I'd at least get a thumbs-up from someone for quoting Little Big League for a Math problem. :)

Answer 4

If Eli can paint a home in 4hrs, then in 1hr he can paint 1/4 of the home.

If Tim can paint a home in 6hrs, then in 1hr he can paint 1/6 of the home.

so if you add them up, 1/4 of the home + 1/6 of the home

= 3/12+2/12

= 5/12 of the home

so in 1hr, both paint 5/12 of the home.

Next, if they paint 5/12 of the home in 1hr, so

5/12 = 1hr

1/12 = 12 min

12/12 = 144 min

         = 2hrs 24min

So, it will take both of them 2hrs and 24min to paint together.