Question

11. 25 people and i0 boys do a job in 6 days. On the other hand 2 lakes and 30 boys do that work in 3 days. How many boys will do that work with 23 lakes in 4 days? A 5 B) 40 | © 20 D 10 [RRB Muzaffarpur ASM Exam 2008]​

Answer 1

Answer:

Given -

25 people and 10 boys do a job in 6 days

On the other hand 2 lakes and 30 boys do that work in 3 days.

To Find -

How many boys will do that work with 23 lakes in 4 days?

Solution -

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.

Hence option d) is the correct answer

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Answer 2

Given -

25 people and 10 boys do a job in 6 days

On the other hand 2 lakes and 30 boys do that work in 3 days.

To Find -

How many boys will do that work with 23 lakes in 4 days?

Solution -

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.

Hence option d) is the correct answer.

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