NTSE Stage 2 SAT 2019 Exam Question Paper

Question : 45 of 100

Marks: +1, -0

In village Madhubani 8 women and 12 girls can paint a large mural in 10 hours. 6 women and 8 girls can paint it in 14 hours. The number of hours taken by 7 women and 14 girls to paint the mural is

Validate

Solution:

Let one woman can paint a large mural in W hours and one girl can paint it in G hours According to question,

\;\;{8}/{W}+\;\;{12}/{G}=\;\;{1}/{10}⇒\;\;{2}/{W}+\;\;{3}/{G}=\;\;{1}/{40}

.......(i)
Also

\;\;{6}/{W}+\;\;{8}/{G}=\;\;{1}/{14}⇒\;\;{3}/{W}+\;\;{4}/{G}=\;\;{1}/{28}

.....(ii)

On solving equation (i) and (ii), we get
W = 140 and G = 280

Now,

\;\;{7}/{140}+\;\;{14}/{280}=\;\;{1}/{\;\text"Time taken"\;}=\;\;{1}/{t}(\;\text"say"\;)

⇒\;\;{1}/{t}=\;\;{1}/{20}+\;\;{1}/{20}⇒t=10

hours

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