Question

10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days that same work. In how many days will a women finish the work?​

Answer 1

Answer:

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1 men can finish the whole work in 100 days

Therefore 1 man's 1 days' work = 1/100

=> 10 men's 1 days' work

= 10 × 1/100 = 1/10

Let the time taken by one women to finish the work be x days.

Then, 1 woman's days' work = 1/x

=> 15 women's 1 days' work = 15/x

Given, ( 10 men's + 15 women's ) 1 days' work = 1/6

=> 1/10 + 15/x = 1/6

=> 1/10 + 15/x = 1/6

=> 15/x = 1/6 – 1/10

= 2/30

= 1/15

=> x = 225 days.