Quiz-1

According to ques, 1 × 40 × x = 40 × 1 × 40

∴ One cow will eat one bag of husk in x=40 days

According to ques, 1 × 7 × x = 7 × 1 × 7

∴ 1 spider will make 1 web in x=7 days.

The men already in Garrison = 500

Extra men = 300

Total men now ( 500 + 300 ) = 800 men

500 men provision 24 days

1 men provision 24 x 500 days

800 men provision = 24 x 500 / 800

= 15 days

Because, less number of basket balls -----> cost will be less
Given : 75 basketballs cost $1,143.75
Cost of one basket ball = 1143.75 / 75 = 15.25
Then, cost of 26 basket balls = 15.25 x 26 = 396.50
Hence, the cost of 26 basket balls is $ 396.50

Miguel raised $2,372.50 in 36.5 weeks

Amount raised in one week is

=  2372.5 / 36.5

=  $65

Amount raised in 20 weeks is

=  65 * 20

=  $1300

Hence, the money raised in 20 weeks is $1300

Solution: Let x be the required length of the wall.

More men means more work will be done. (Therefore, Amount of work is directly proportional to Number of men)

Less days means less length built. (Therefore, number of days of work is directly proportional to length of wall built)

Men: 30/40 : 56 meters

Days: 5/3 : x meters

Therefore, we have:
\frac{30}{40} \times \frac{5}{3} =\frac{56}{x}
⇒ 30 \times 5 \times x=56 \times 40 \times 3\ \ \Rightarrow 150 \times x=6720
⇒ x=\frac{6720}{150} = 44.8

Hence the length of wall that can be built by 40 men in 3 days is 44.8 meters

 

1 × 20 × x = 20 × 1 × 20          ⇒ x= 20 days

Solution: In order to solve this sum we have to apply unitary method.

The formula is: [(no.of men)*(no.of days)*(no.of hours)]/(work).

Acc to the question, m1 = 4

w1 = 40.

d1 = 30.

m2 = 18.

d2 = 12.

w2 = ?

From the formula we can write, (4 * 30) / (40) = (18 * 12) / (w2)

or, w2 = (18 * 12 * 40) / (4 * 30)

or, w2 = 72.

Therefore, 18 men can reap 72 acres of land in 12 days.

 

Answer sheets are work here. So
M₁×D₁×H₁×W₂ = M₂×D₂×H₂×W₁
⇒ 9×12×5×2 = 4×30×H₂×1
Solvimg, H₂ = 9

Let number of days required = d days

∴ According to question, 10 × 20 × 6 = 15 × 8 × d

⇒ d= 1200/120 = 10 days