Question

5 men or 6 women or 10 boys can do a work in 15 days how long will it take to complete the work by a group of 5 men and 6 women and 10 boys?​

Answer 1

Answer:

They can complete the work in 5 days.

Step-by-step explanation:

5men = 10 boys

6 woman = 10 boys

10 boys

10+10+10 boys = 30 boys(As 5 men = 10 boys and 6 women - 10 boys)

No. of boys                             No. of days

10                                                  15

30                                                   $x$

No. of boys and no. of days are in inverse variation.

Therefore, $\frac{x}{15}$ = $\frac{10}{30}$ $=> x = \frac{10*15}{30} =5$

Answer 2

It will take 5 days for 5 men and 6 women and 10 boys to complete the work.

Step-by-step explanation:

We need to find the number of days that will take to complete the work by 5 men and 6 women and 10 boys.

So, the work done by 5 men = 1÷15th part

The amount of work done by 6 women = 1÷15th part

And the amount of work done by 10 boys= 1÷15th part

Now, the work done by all of them will be the sum of work done by each group.

This becomes= 1÷15+1÷15+1÷15

= 3÷15

SO, the number of days it will take will be the reciprocal of 3÷15 = 15÷3 = 5 days.

Result:

Thus, it will take 5 days for 5 men and 6 women and 10 boys to complete the work.

(#SPJ2)