Question

solve step by step can you solve i mark you these two question you solve ​

Answer 1

Question 7:

Mahavir takes 6 days to plough the field alone. What we can first do is figure out how much of the field he ploughs in a day.

1 field ÷ 6 days = $\frac{1}{6}$ of the field

Therefore, Mahavir ploughs $\frac{1}{6}$ of the field per day.

We know that Mahavir and Randhir take 4 days together. Since we know how much of the field Mahavir ploughs in a day, we can first calculate how much of the field Mahavir ploughs in 4 days:

$4(\frac{1}{6} )=\frac{4}{6} = \frac{2}{3}$

As shown above, Mahavir ploughs $\frac{2}{3}$ of the field in 4 days when working alone.

Next, we need to calculate how much of the field Randhir ploughs in 4 days. We know that when Mahavir and Rhandir work together, they can plough 1 field in 4 days, therefore we will use addition.

In the equation below, $x$ represents how much of the field Randhir ploughs per day:

(Fraction of field Mahavir ploughs per day × 4 days) + (Fraction of field Randhir ploughs per day × 4) = Mahavir and Randhir plough 1 field

$\frac{2}{3}+4x=1\\\\4x=1-\frac{2}{3} \\4x=\frac{1}{3} \\x=\frac{1}{12}$

Therefore, Randhir ploughs $\frac{1}{12}$ of the field in a day.

In the equation below, y represents how many days it takes Randhir to plough one field alone.

$\frac{1}{12}$ of the field × $y$ days = 1 field

Try to figure out y by yourself. And question 8 follows the same concept.

Hope this helps!