Question

15 labourers can plough 18 bighas of land in 5 days. If 10 labourers work for 10 days, then how much land will be ploughed? 

Answer 1

Answer:

They will plough 6 bighas.

Step-by-step explanation:

labourers (l)          land(b)             days(d)

     15                     18                       5

      10                     ?                        10.

Let , they will plough x bighas .

Now , the relation between labourers and land is idirectly proportional .

The relation between land and days is directly proportional.

l = k*b*d

or , 15 = k * 18 * 5.

or , k = 1/6.

l= (b*d)/6.

or , 10 = (x*10)/6.

or , x = 6.

So, they will plough 6 bighas.

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Answer 2

Answer:

Land to be ploughed = 6 bighas

Step-by-step explanation:

Given :-

labors(l)     land(h)    days ( time taken ) (d)

15               18            5

10               x              10

To find :- value of x .

Solution :-

We will use proportionality relation ,

labor is directly proportional is to land and days .

l α h d .

l = k*h*d .

therefore , $15 = k*18*5 \\k = 1/6$

using this value of k for the second data ,

$l = k*h*d \\10 = \frac{1}{6}*x*10 \\ x = 6 .$

Land to be ploughed = 6 bighas

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