Question

25 men with 10 boys does a work in 6 days. 21 men with 30 boys does the work in 3 days. Then what numbers of boys with 23 men will done that work in 4 days?​

Answer 1

Answer:

10 boys

Step-by-step explanation:

Let the amount of work done by a Man and a Boy in a day be m and b, respectively.

Then, as per the question

6(25m + 10b) = 5(21m + 30b)

Or, 150m + 60b = 105m + 150b

Or, 45m = 90b

Or, m = 2b……… (i)

Now, the total amount of work

= 150 m + 60b

= 360b (substituing m from i)……(ii)

Now, let the number of boys needed be x.

So,

4(40m + xb) = 360b

Or, 80b + xb = 90b

Or, x = 10.

So, 10 boys will be needed.

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