Question

A piece of work is done by 6 men and 5 women in 6days or 3 men and 4 women in 10 days . How
many days will it take for 9 men and 15 women to finish that work ?

Answer 1

Step-by-step explanation:

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Answer 2

9 Men and 15 women will finish the work in 3 days.

GIVEN

• Number of days a Work completed by 6 men and 5 women = 6 days
• Number of days a Work completed by 3 men and 4 women = 10 days

TO FIND

Number of days in which the work will be completed by 9 men and 15 women.

SOLUTION

We can simply solve the given problem as under -

Let the number of days taken by 9 men and 15 women be x

we know,

work done by 9 men and 15 women in x days = work done by 6 men and 15 in 6 days = work done by 3 men and 4 women in 10 days.

we can rewrite it as -

(9M + 15W)x = (6M + 5W)×6 ........(eq 1)

and,

(6M + 5W)×6 = (3M + 4W) × 10. ......(eq 2)

solving (eq 2) we get ;

18M + 15W = 15M + 20W

3M = 5W..............(eq 3 )

So, work or 3 Men is equal to work of 5 women

Now, putting the value of M form (eq 3) to (eq 1) we get;

(15W+ 15W)x = (10W + 5W)6

(30W)x = 90w

x = 3

Hence, 9 Men and 15 women will finish the work in 3 days.

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