Question

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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SOLUTION
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Answer 1

Answer:

2/1

Step-by-step explanation:

Let the work done by 1 man in 1 day be x

Let the work done by 1 boy in 1 day be y

6(25x+10y)=5(21x+30y)

150x + 60y = 105x + 150y

150x-105x = 150y-60y

45x = 90y

x/y=90/45

x/y=2/1

x:y=2:1

So, ratio of work done by 1 man to 1 boy is 2:1

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Answer 2

Answer:

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.

Step-by-step explanation: