Question

6 woman and 8 men can construct a room in 86 days. how long will it take for 7 woman and five men to do the same type of room​

Answer 1

It will take approximately 63 days to do so.

Step-by-step explanation:

Since we have given that

Number of woman = 6

Number of men = 8

Number of days = 86

If the number of woman = 7

number of men = 5

Then, we need to find the number of days,

$\dfrac{6W\times 8M}{86}=\dfrac{7W\times 5M}{x}\\\\\dfrac{48}{86}=\dfrac{35}{x}\\\\48x=86\times 35\\\\x=\dfrac{3010}{48}=62.70$

Hence, it will take approximately 63 days to do so.

# learn more:

If 6 men or 8 women can reap a field in 86 days, how long will 14 men and 10 women take to

reap it?

https://brainly.in/question/13625922

Answer 2

/* There is a mistake in the question */

It should be like this .

6 woman (or) 8 men can construct a room in 86 days. how long will it take for 7 woman and five men to do the same type of room

6 women construct a room in 86 days

8 men construct the same room in 86 days

Therefore.,

6 women = 8 men

$\implies 1 \: women = \frac{8}{6} \: men\:--(1)$

$But \: in \: question , \\6 \: women + 8 \:men \: working \\= 6 \times \frac{8}{6} men + 8\:men \\= 16 \: men \: --(2)$

$But \: in \: question , \\7 \: women + 5 \:men \: working \\= 7 \times \frac{8}{6} men + 5\:men \\= \frac{ 56 + 30}{6} \\=\frac{86}{6} \: men \: --(3)$

$If \: 16 \: men \:can \: construct \: 86 \:days$

$\frac{86}{6} \:men \:can \: in \: -?$

$M_{1} \times D_{1} = M_{2} \times D_{2}$

$\implies D_{2} = \frac{ M_{1} \times D_{1} }{M_{2}} \\= \frac{ 16 \times 86 }{\frac{86}{6}} \\= 96\:days$

Therefore.,

$\red { 7 \:women \:and \:5 \:men \:construct}$

$\red{ the \: same \:room \:in }\green { = 96\:days }$

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