Explanation

14 men × 12 hours = 168 man-hours (total work)

8 men × x hours = 168 man-hours

8x = 168

x = 168/8

x = 21 hours

Explanation

Let the son's present age be x.

The man's present age = 4x

In 5 years:

Son's age = x + 5

Man's age = 4x + 5

According to the problem:

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

4x - 3x = 15 - 5

x = 10

Explanation

The sequence of plants planted each year is an arithmetic sequence with:

First term (a) = 6000

Common difference (d) = 2200

To find the number of plants in the 7th year, we need to find the 7th term:

a₇ = a + (n - 1)d

= 6000 + (7 - 1) × 2200

= 6000 + 6 × 2200

= 6000 + 13200

= 19200

Explanation

Step 1: Calculate the total work hours for four workers

Total work hours = 4 workers × 8 hours = 32 worker-hours

Step 2: Calculate the time required for six workers

Time = Total work hours / Number of workers

= 32 worker-hours / 6 workers

= 5.33 hours

= 5 hours 20 minutes

Explanation

Let Soomal's age be x.

Saira's age = x + 6

Five years later:

x + 5 + x + 11 = 40

2x + 16 = 40

2x = 24

x = 12

Saira's age = 12 + 6 = 18