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If Sally can paint a house in 4 hours, and John can paint

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If Sally can paint a house in 4 hours, and John can paint [#permalink]

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New post 02 Nov 2012, 10:46
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If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

A. 2 hours and 24 minutes
B. 3 hours and 12 minutes
C. 3 hours and 44 minutes
D. 4 hours and 10 minutes
E. 4 hours and 33 minutes
[Reveal] Spoiler: OA

Last edited by Bunuel on 02 Nov 2012, 14:06, edited 1 time in total.
Renamed the topic and edited the question.
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Re: need some help [#permalink]

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New post 02 Nov 2012, 11:16
Hello...

Sally can paint a house in 4 hours; Which means in 1 hour she can paint 1/4th of the house.
John can paint the same house in 6 hours. Which means in 1 hour she can paint 1/6th of the house.

Together in 1 hour they can paint: - 1/4 + 1/6 = 5/12th of the house.

Total Hours for painting the house together will be 12/5 = 2.4 Hours.

Hence Answer A
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Re: need some help [#permalink]

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New post 02 Nov 2012, 11:25
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shrinivas280390 wrote:
Hello...

Sally can paint a house in 4 hours; Which means in 1 hour she can paint 1/4th of the house.
John can paint the same house in 6 hours. Which means in 1 hour she can paint 1/6th of the house.

Together in 1 hour they can paint: - 1/4 + 1/6 = 5/12th of the house.

Total Hours for painting the house together will be 12/5 = 2.4 Hours.

Hence Answer A


Thanks a lot :) I really made a stupid mistake :/
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Re: need some help [#permalink]

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New post 02 Nov 2012, 13:11
MariaF wrote:
shrinivas280390 wrote:
Hello...

Sally can paint a house in 4 hours; Which means in 1 hour she can paint 1/4th of the house.
John can paint the same house in 6 hours. Which means in 1 hour she can paint 1/6th of the house.

Together in 1 hour they can paint: - 1/4 + 1/6 = 5/12th of the house.

Total Hours for painting the house together will be 12/5 = 2.4 Hours.

Hence Answer A


Thanks a lot :) I really made a stupid mistake :/


It'd be interesting how to use elimination techniques solving this problem? :?:
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Re: need some help [#permalink]

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New post 02 Nov 2012, 13:17
MariaF wrote:
Guys, help me please to solve this easy problem. I think I just make a stupid mistake :(
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

A. 2 hours and 24 minutes
B. 3 hours and 12 minutes
C. 3 hours and 44 minutes
D. 4 hours and 10 minutes
E. 4 hours and 33 minutes


Time taken will be = x*y/x+y = 4*6/4+6 [ A]
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Re: need some help [#permalink]

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New post 02 Nov 2012, 13:22
RJSPO wrote:
MariaF wrote:
Guys, help me please to solve this easy problem. I think I just make a stupid mistake :(
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

A. 2 hours and 24 minutes
B. 3 hours and 12 minutes
C. 3 hours and 44 minutes
D. 4 hours and 10 minutes
E. 4 hours and 33 minutes


Time taken will be = x*y/x+y = 4*6/4+6 [ A]


Nice trick, I have to remember it, x*y/(x+y)
and if it would be three workers is it equal x*y*z/(x+y+z)?
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Re: need some help [#permalink]

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New post 02 Nov 2012, 13:30
actleader wrote:
RJSPO wrote:
MariaF wrote:
Guys, help me please to solve this easy problem. I think I just make a stupid mistake :(
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

A. 2 hours and 24 minutes
B. 3 hours and 12 minutes
C. 3 hours and 44 minutes
D. 4 hours and 10 minutes
E. 4 hours and 33 minutes


Time taken will be = x*y/x+y = 4*6/4+6 [ A]


Nice trick, I have to remember it, x*y/(x+y)
and if it would be three workers is it equal x*y*z/(x+y+z)?


No, for 3 workers it will be quite a complicated formula : x*y*z/xy+yz+zx
Better to use reciprocal formula for other cases
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Re: If Sally can paint a house in 4 hours, and John can paint [#permalink]

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New post 14 Nov 2012, 04:13
\(\frac{1}{4}+\frac{1}{6}=\frac{10}{24}=\frac{5}{12}\)

\(Rt=W -> \frac{5houses}{12hrs}xt=1\)
\(t=\frac{12}{5}=2\frac{2}{5}hours=2 hours and 24 minutes\)

Answer: B
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Re: If Sally can paint a house in 4 hours, and John can paint [#permalink]

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Re: If Sally can paint a house in 4 hours, and John can paint   [#permalink] 06 Jan 2016, 12:35
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If Sally can paint a house in 4 hours, and John can paint

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