Question

If 12 men or 16 women can do a work in 172 days, how long will 21 men and 15 women together do the same work?
(1) 64 days
(2) 70 days
(3) 80 days
(4) 95 days

Please explain step-by-step. Best answer will be marked as brainliest.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer: Option (1) is correct.

Step-by-step explanation:

Since we have given that

Either 12 men or 16 women can do a work in 172 days.

Number of men = 21

Number of women = 15

So, number of days 21 men and 15 women can do together.

So, Number of days together takes is given by

$\dfrac{172}{\dfrac{21}{12}+\dfrac{15}{16}}\\\\\\=\dfrac{172}{\dfrac{7}{4}+\dfrac{15}{16}}\\\\\\=\dfrac{172}{\dfrac{28+15}{16}}\\\\\\=\dfrac{172\times 16}{43}\\\\=4\times 16\\\\=64\ days$

Hence, Option (1) is correct.