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# If 12 boys and 16 girls can do a work in 5 days and 13 boys

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Director
Joined: 21 Aug 2005
Posts: 786

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If 12 boys and 16 girls can do a work in 5 days and 13 boys [#permalink]

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04 Nov 2005, 11:13
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If 12 boys and 16 girls can do a work in 5 days and 13 boys and 24 girls can do it in 4 days,
1) Days required for 7 boys and 10 girls to complete the work.
2) Time required by you to answer this 'work' problem.

(A) 8.11
(B) 8.33
(C) 9.11
(D) 9.33
(E) None of the above

Kudos [?]: 28 [0], given: 0

SVP
Joined: 24 Sep 2005
Posts: 1884

Kudos [?]: 378 [0], given: 0

Re: Warm up with work! PS [#permalink]

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04 Nov 2005, 11:27
gsr wrote:
If 12 boys and 16 girls can do a work in 5 days and 13 boys and 24 girls can do it in 4 days,
1) Days required for 7 boys and 10 girls to complete the work.
2) Time required by you to answer this 'work' problem.

(A) 8.11
(B) 8.33
(C) 9.11
(D) 9.33
(E) None of the above

B it is

Kudos [?]: 378 [0], given: 0

SVP
Joined: 24 Sep 2005
Posts: 1884

Kudos [?]: 378 [0], given: 0

Re: Warm up with work! PS [#permalink]

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04 Nov 2005, 11:32
gsr wrote:
If 12 boys and 16 girls can do a work in 5 days and 13 boys and 24 girls can do it in 4 days,
1) Days required for 7 boys and 10 girls to complete the work.
2) Time required by you to answer this 'work' problem.

(A) 8.11
(B) 8.33
(C) 9.11
(D) 9.33
(E) None of the above

ok,in order not to be complainted later, i post my explanation as well

Let x, y be the work/ day done by a boy and a girl respectively
have: 12x+16y= 1/5 and 13x+24y=1/4
find x, y and substitute into the equation: 7x+10y=?
get the result= 24/200 ---> the days require blah blah is 200/24= 8.333333

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VP
Joined: 30 Sep 2004
Posts: 1480

Kudos [?]: 411 [0], given: 0

Location: Germany

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04 Nov 2005, 11:38
B)...

12b+16g=1/5
13b+24b=1/4

solve for b and g...1/100...1/200...7/100+1/20=1/x...solve for x
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

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Director
Joined: 21 Aug 2005
Posts: 786

Kudos [?]: 28 [0], given: 0

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04 Nov 2005, 11:43
you guys only 50% right

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SVP
Joined: 24 Sep 2005
Posts: 1884

Kudos [?]: 378 [0], given: 0

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04 Nov 2005, 11:46
gsr wrote:
you guys only 50% right

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Director
Joined: 24 Oct 2005
Posts: 572

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Location: NYC

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04 Nov 2005, 11:50
the other 50 % is 2 min
_________________

Success is my only option, failure is not -- Eminem

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Director
Joined: 21 Aug 2005
Posts: 786

Kudos [?]: 28 [0], given: 0

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04 Nov 2005, 11:56
bewakoof wrote:
the other 50 % is 2 min

You get 75%
2 mins is what I gave you. But, how long did you actually take?

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Director
Joined: 24 Oct 2005
Posts: 572

Kudos [?]: 76 [0], given: 0

Location: NYC

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04 Nov 2005, 13:36
gsr wrote:
bewakoof wrote:
the other 50 % is 2 min

You get 75%
2 mins is what I gave you. But, how long did you actually take?

it took me 2 min .. I am 100 % right..
_________________

Success is my only option, failure is not -- Eminem

Kudos [?]: 76 [0], given: 0

04 Nov 2005, 13:36
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