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40 vote

Either 8 men or 17 women can paint a house in 33 days. The number of days required to paint three such houses by 12 and 24 women working at the same rate is :

Asked on by | Votes 40 | Views: 634 | Tags: time and work     | quantitative aptitude     | ssc chsl 2011     | Add Bounty

Either 8 men or 17 women can paint a house in 33 days. The number of days required to paint three such houses by 12 and 24 women working at the same rate is :
1). 44 days
2). 43 days
3). 34 days
4). 66 days


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1 answers

29 vote
Answered by on | Votes 29 |

Total work = $ \Large 17 \times 33 \times 3  $

Let 1 woman works 1 unit/day then 17 women will do 17 units / day) . 

$ \Large 12 men + 24 women $

$ \Large \frac{51}{2} women +\frac{24}{1}women=\frac{99}{2} $ women

will do $ \Large 17 \times 33 $ work in

=$ \Large \frac{17 \times 33}{\frac{99}{2}} \times 3 $=34 days 

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