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

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Solution

The correct option is B 10
$8 w + 12 g = \frac{1}{10}$
$6 w + 8 g = \frac{1}{14}$
Solving we get, $w = \frac{1}{140}, g = \frac{1}{280}$
$∴$ Time required by 7 women and 14 girls
$= \frac{1}{\frac{7}{140} + \frac{14}{280}} = \frac{1}{10} = 10 h r s$

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

The correct option is B 108w+12g=1106w+8g=114Solving we get, w=1140,g=1280∴ Time required by 7 women and 14 girls=17140+14280=110=10hrs

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

The correct option is B 10
$8 w + 12 g = \frac{1}{10}$
$6 w + 8 g = \frac{1}{14}$
Solving we get, $w = \frac{1}{140}, g = \frac{1}{280}$
$∴$ Time required by 7 women and 14 girls
$= \frac{1}{\frac{7}{140} + \frac{14}{280}} = \frac{1}{10} = 10 h r s$