Question

9. If 16 men can reap a field in 30 days, in how many days will 20 men reap the same field
(a) 10 days
(b) 24 days
(C) 25 days
(d) 37 days
​

Answer 1

Answer:

The time required for 20 workers is 24 days. (Option b)

Step-by-step explanation:

Given :

16 men reap the field in 30 days

To find :

Days 20 men will need to reap the field

Solution :

Let the days required by 20 men be 'm'

$\begin{tabular}{|c|c|c|}\cline{1-3} Men working (x) & 16 & 20 \\\cline{1-3}\ Days required (y) & 30 & m \\\cline{1-3}\end{tabular}$

As the Number of workers will increase the time required to reap the field would be less. It's an Inverse Variation.

$\bigstar \: \boxed{\sf{x \times y =K }}$

$\sf{\implies}\: 16 \times 30 = 20 \times m \\ \\ \sf{\implies}\:480 = 20m \\ \\ \sf{\implies}\:m = \dfrac{480}{20} \\ \\ \sf{\implies}\:m = 24$

Days required by 20 workers = 24 days

$\therefore$ The time required for 20 workers is 24 days. (Option b)

Answer 2

Answer:

16 men can reap a field in 30 days

obviously, we are assuming equal strength of each man

Now 1 man can reap a field in (30×16) days

[As Same amount of work is to be done by 1 man]

1 man can reap a field in 480 days

So,20 men can reap a field in 480/20

[ As Same amount of work would be distributed among 20 men]

= 24 days

So, option b) 24 days is correct

#answerwithquality #BAL