Explanation

Given that 12 men can water the field in 9 hours, we can calculate the total man-hours required:

Total man-hours = 12 men * 9 hours = 108 man-hours

If the same field needs to be watered in 4 hours, let's denote the number of men required as x:

x men * 4 hours = 108 man-hours

x = 108 / 4

x = 27

Explanation

5 masons can build a house in 120 days.

This means the total work required to build the house is:

5 masons × 120 days = 600 mason-days

To build the same house in 75 days, the total work required remains the same (600 mason-days).

Let's divide the total work by the new timeframe:

600 mason-days ÷ 75 days = 8 masons

Explanation

1163​=1619​  Its reciprocal=1916​
∴ Required difference=1619​−1916​
=304361−256​=304105​

Explanation

Total rabbits = 3/8 of 480 = (3 × 480) ÷ 8 = 180

White rabbits = 1/3 of 180 = 180 ÷ 3 = 60

Explanation

To solve the equation:

8/3 × 5/14

Multiply the numerators and denominators:

(8 × 5) / (3 × 14) = 40 / 42

Simplify the fraction:

40 / 42 = 20 / 21

Explanation

To find out what fraction of the whole pizza Madeeha got:

Nida had 3/12 of the pizza and gave 1/8 of that to Madeeha.

First, simplify 3/12 to 1/4.

Madeeha got 1/8 of 1/4:

(1/8) × (1/4) = 1/32

Madeeha got 1/32 of the whole pizza.

Explanation

Let common multiple be x

So angles are 5x and1x

So x+5x=180

6x=180

Therefore, x=30

The angles are 5×30 and 1×30

= 150 and 30

Explanation

1 hour's work of A = 2.5% (meaning A completes 2.5% of the work in 1 hour)

1 hour's work of B = 1.66% (meaning B completes 1.66% of the work in 1 hour)

Combined work rate of A and B in 1 hour = 2.5% + 1.66% = 4.16%

Time to complete the work = 100%/4.16% = 24 hours (since they work 8 hours a day, this is equivalent to 3 days)

So, A and B together can complete the work in 3 days, working 8 hours a day.

Explanation

$\lambda =\frac{v}{f}$

Let's plug in our given values and see what we get!

$\lambda =\frac{340\frac{m}{s}}{440s^{-1}}$

$\lambda =0.773m$

Explanation

Total work = 14 men × 12 hours = 168 man-hours

Time for 10 men = 168 ÷ 10 = 16.8 hours

So, 10 men will take 16.8 hours to paint the masjid.