Question

if 3 mens or 5 women take 26 days to do a work,haow lond will 7 mens and 10 women take
?​

Answer 1

Answer:

6 days

Step-by-step explanation:

3 men takes 26 days to do a work.

So, 1 man will take = 26 × 3 = 78 days to do that work.

5 women takes 26 days to do a work.

So, 1 woman will take = 26 × 5 = 130 days to do that work.

If 7 men and 10 women work together

the time taken will be = Total work / Total speed of execution

Speed of execution of 7 men = 7 × (W/78)

Speed of execution of 10 women = 10 × (W/130)

Since they work together, their speed will add up.

So, Time taken →

= W / { (7W/78) + (W/13) }

= 1 / { (7/78) + (1/13) }

= 78/13

= 6 days