Question

10. 25 men and 10 boys can do a piece of work in 6 days and the same work is done
by 21 men and 30 boys in 5 days. Find the ratio of work of a man to a boy.
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Answer 1

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.

Answer 2

Answer:

2:1

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……… 

Or,m/b= 2:1(Ans)