Question

45 men or 60 boys can do a piece of work in 20 days. how many days will 15 men and 20 boys take to complete the work?

Answer 1

HELLO DEAR,

YOUR QUESTIONS IS-------------->45 men or 60 boys can do a piece of work in 20 days. how many days will 15 men and 20 boys take to complete the work?

FOR MEN -

45 men complete work in 20 days

So 45 men one day work= 1/20

1 men one day work = 1/20×45

FOR BOYS

60 boys complete work in 20 days

So 60 boys one day work= 1/20

1 boys one day work = 1/20×60

Now we have to find when both (15 Men & 20 boys) are working togethers

So 15 Men one day work = 15 × (one day work of one man)

= 15 × (1 / 20 × 45) =1/60

So 20 boys one day work = 20 × (one day work of one boys)

= 20 × (1 / 20×60) =1/60

Adding one day work of (15 Men) & (20 boys)

= 1/60 + 1/60

= 2/60

= 1/30

This means 15 Men and 20 boys does 1/30 fraction of work in one day

Thus, they would complete the work in

30 days.

I HOPE ITS HELP YOU DEAR,

THANKS

Answer 2

Given 45 men or 60 boys.

Then, 1 men = (60/45) = 4/3 boys.

= > 15 men = (4/3) * 15 = 20 boys.

So,

Total boys = 20 + 20 = 40

Now,

Given 60 boys can do a work in 20 days.

Then, 40 boys can do the same work in (20 * 60)/40 = 30.

Therefore, 15 men and 20 boys can complete the work in 30 days.

Hope this helps!