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Munagala Janardhana Reddy

· started a discussion

· 1 Months ago

total work = no of people X no of days
let the total work done by men = 6 x 10M = 60M
let the total work done by women = 15 x 5M = 75M
to complete the work by 8M and 5W it takes

(1/((8M/60M)+(5W/75W)) ==> (15/(2+1)) ==>5 days

Question:
If 10 men can do a work in 6 days and 15 women can do the same in 5 days, Then 8 men and 5 women can together do the work in :
Options:
A) 7 days
B) 6 days
C) 5 days
D) 4 days
Solution:
Ans: (c)

10 Men can do the work in 6 days

If the work is to be finished in 5 days, number of women required = 15

If the work is to be finished in 6 days, number of women required =\(\cfrac{15\times5}{6}=\cfrac{25}{2}\)

So that 10 men = \(\cfrac{25}{2}\) women

or 5 women = 4 men

8 men + 5 women = 8 men + 4 men = 12 men

Now 10 men can finish the work in = 6 days

\(\therefore\) 12 men can finish the work in \(\cfrac{6\times10}{12}=5\)  days

Knowledge Expert

· commented

· 1 Months ago

We have provided a clear and easily understandable solution
You can solve the same through any method you prefer
Regards
TR

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