Question

10 men or 18 boys can do a piece of work in 15 days. in how many days would 25 men and 15 boys complete the same work working together?

Answer 1

10 Men can do a work in 15 days
1 man in 15 days == 1/10 work
1 man in 1 day == 1/150 work
18 boys in 15 days==1 work
18 boys in 1 day===1/15 work
1 boy in 1 day == 1/270 work

25 men in 1 day = 25/150 = 1/6 work
15 boys in 1 day = 15/270 = 1/18 work
In 1 day:
1/6 + 1/18 = 4/18 work
1 day === 4/18
X days == 1 
4x/18 = 1
X = 18/4 = 9/2 or 4.5 days
Hope it helps.

Answer 2

Answer:

Complete the same work in 4.5 days.

Solution step by step :

10 men = 18 boys

25 men = 15 boys

18 boys can do a work in 15 days

60 boys ( 45+ 15) will do the work in ($\frac{18* 15}{60}$)

days  = $\frac{9}{2}$ days

= 4.5 days .

That's because the question asks how many days will 25 men and 15 boys together take to complete the same work

since we have already determined that 25 men is equal to 45 boys , we can rephrase the question as " how many days will 45 boys and 15 boys together take to complete together work ?

Hence 45+15

Learn more about use of  inverse proportion:

https://brainly.in/question/2332067

Learn more about inverse proportion:

https://brainly.in/question/1977156

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