Explanation

To solve this problem, find the rate at which the men weave cloth:

15 men weave 120 meters in a day

Rate = 120 meters / 15 men = 8 meters per man per day

Now, find the total cloth woven by 35 men:

35 men × 8 meters per man per day = 280 meters

Explanation

To find out how many pieces of 4/10 meters can be cut from a wire 8/5 meters long:

First, convert both lengths to decimal:

4/10 = 0.4 meters

8/5 = 1.6 meters

Now, divide the total length by the length of each piece:

1.6 ÷ 0.4 = 4

Explanation

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

Three years ago, the total age of the 5 family members was:

5 x 17 = 85 years

Now, the total age of the 5 family members, considering the 3 years that have passed, is:

85 + 5 x 3 = 100 years

The total age of the 6 family members (including the baby) is:

100 + baby's age

Since the average age remains the same (17 years), we can set up the equation:

(100 + baby's age) / 6 = 17

Multiply both sides by 6:

100 + baby's age = 102

Subtract 100 from both sides:

baby's age = 2

Explanation

2.39x + 2.79y = 1344.50

where x + y = 550.

Solving the equations, we get:

y = 75

So, 75 gallons of premium gasoline were sold.

Explanation

To find the total number of packages:

Total weight of meat = 100 kg

Weight of each package = 4/7 kg

Number of packages = Total weight / Weight per package

= 100 / (4/7)

= 100 * 7 / 4

= 175

Explanation

To find the value of K:

K = 6 × 17

= 102

= 2 × 102 = 204

Explanation

12 men × 10 days = 120 man-days

To complete the same work in 8 days:

120 man-days ÷ 8 days = 15 men

Explanation

Kilometres ran by Ali = 4.25 km

In the question,

The length of the jogging track = 1/4 km = 0.25 km

The number of times Ali covered the track = 17

So,

Total distance covered by the Ali is given by,

Total distance = (Number of times he covered the track) x (Length of the track)

So,

The distance in kilometres covered by Ali is,

Distance = 0.25 x 17 = 4.25 km

Therefore, the distance covered by Ali is 4.25 km.