Explanation

the farmer sowed wheat on 2/5 of an acre and the field is 10 hectares,

we can convert hectares to acres.

Since 1 hectare is equal to 2.47105 acres,

we can multiply 10 hectares by 2.47105 to find the total area of the field in acres.

10 hectares * 2.47105 acres/hectare = 24.7105 acres

24.7105 acres * 2/5 = 9.8842 acres

24.7105 acres - 9.8842 acres = 14.8263 acres

we divide the area in acres by 2.47105.

14.8263 acres / 2.47105 acres/hectare = 5.9957 hectares

Therefore, approximately 6 hectares of the field are sown with rice.

Explanation

Let A be the amount of type of first rice and

B be the Amount of second type of rice

According to question:  A + B = 50 Kg

Also

                           A  x 4.5 + B x 5 = 240 Rs

Thus solving the above two equations

                    (50 – B) x 4.5 + 5B = 240

                       225 – 4.5 B + 5B = 240

                                          0.5 B = 15

                                                 B = 15/ 0.5

                                                 B = 30 Kg

                                        Thus A = 50 – 30 = 20 Kg

Explanation

1.  The last place team (8th position) gets Rs. 4000.

2. The prize money increases by the same amount for each higher position.

3. There are 8 teams, so we need to find the increase in prize money per position.

4. Let's assume the increase per position is x.

5. The 7th position team gets Rs. 4000 + x = ?

6. The 6th position team gets Rs. 4000 + 2x = ?

7. ...

8. The 1st position team gets Rs. 4000 + 7x = ?

We know the total prize money is Rs. 60,000. Let's add up the prize money for each position:
Rs. 4000 + (Rs. 4000 + x) + (Rs. 4000 + 2x) + ... + (Rs. 4000 + 7x) = Rs. 60,000
Combine like terms:
8(Rs. 4000) + 28x = Rs. 60,000
Simplify:
Rs. 32,000 + 28x = Rs. 60,000
Subtract Rs. 32,000 from both sides:
28x = Rs. 28,000
Divide by 28:
x = Rs. 1000
Now we know the increase per position is Rs. 1000.
The 1st position team gets:
Rs. 4000 + 7x = Rs. 4000 + 7(Rs. 1000) = Rs. 4000 + Rs. 7000 = Rs. 11,000

Explanation

Let AC be the ladder and BC be the wall . Then,

In right $△$ ABC,

$A{C}^2=A{B}^2+B{C}^2$

$A{C}^2=(2.5{)}^2+(6{)}^2$

$A{C}^2=\mathrm{42.25mama}$

$AC=6.5m$

Hence, the length of ladder is 6.5 m.

Explanation

10 men have ration for 21 days, which means the total ration is sufficient for 10 x 21 = 210 man-days.

If 3 men leave the camp, the remaining number of men is 10 - 3 = 7 men.

The total ration remains the same, but now it needs to be distributed among 7 men instead of 10.

To find the number of days the ration will last for the remaining men, divide the total ration (210 man-days) by the number of remaining men (7): 210 ÷ 7 = 30 days.

Therefore, the correct answer is: 30 days

Explanation

perimeter of rectangular field =(width+ length)*2

120=(40+l)*2

120/2=40+l

60=40+l

60-40=l

l=20

**ANOTHER SOLUTION***

P=2(l+w) Solving for width w=P 2﹣l=120 2﹣40=20m

Explanation

Explanation

Let son's current age be x and father's current age be y.

x + y = 70 ... (1)

Three years ago,

son's age = x - 3

father's age = y - 3

Given y - 3 = 3(x - 3)

y - 3 = 3x - 9

y = 3x - 6 ... (2)

Putting (2) in (1):

x + 3x - 6 = 70

4x = 76

x = 19

Explanation

No. of digits in 1-digit page nos. = 1x9 = 9.

No. of digits in 2-digit page nos. = 2 x 90 = 180.

No. of digits in 3-digit page nos. = 3 x 900 = 2700.

No. of digits in 4-digit page nos. = 3189 - (9 + 180 + 2700) = 3189 - 2889 = 300.

Therefore No. of pages with 4-digit page nos. = (300/4) = 75.

Hence, total number of pages = (999 + 75) = 1074.

Explanation

Let's calculate the total pump-hours required to empty the tank:

3 pumps * 8 hours/day * 2 days = 48 pump-hours

If 4 pumps need to empty the tank in 1 day:

Let x be the number of hours they need to work:

4 pumps * x hours/day * 1 day = 48 pump-hours

4x = 48

x = 12