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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
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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

SVP
Joined: 24 Sep 2005
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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
SVP
Joined: 24 Sep 2005
Posts: 1885
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Kudos [?]: 323 [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
VP
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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
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If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Director
Joined: 21 Aug 2005
Posts: 790
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04 Nov 2005, 11:43
you guys only 50% right
SVP
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04 Nov 2005, 11:46
gsr wrote:
you guys only 50% right

Director
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04 Nov 2005, 11:50
the other 50 % is 2 min
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Success is my only option, failure is not -- Eminem

Director
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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?
Director
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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..
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Success is my only option, failure is not -- Eminem

04 Nov 2005, 13:36
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