Explanation

Work is inversely proportional to workers: 6×8 = 4×x → x = 12

Explanation

Let Anwar's current age = x  

Then Ali's current age = 2x  

After 6 years:  

Ali's age = 2x + 6  

Anwar's age = x + 6  

According to question:  

(2x + 6)/(x + 6) = 23/13  

Cross-multiplied:  

13(2x + 6) = 23(x + 6)  

26x + 78 = 23x + 138  

26x - 23x = 138 - 78  

3x = 60  

x = 20  

Ali’s age = 2x = 40 years

Explanation

Using the concept of work and rate, we can analyze the given information:

A+B = 1/18 (work done per day)

A+C = 1/12

B+C = 1/9

By adding the first two equations, we get:

(A+B) + (A+C) = 1/18 + 1/12

2A + (B+C) = 1/6

2A + 1/9 = 1/6

2A = 1/6 - 1/9

2A = 1/18

A = 1/36 (work done by A per day)

Now, we can find B's work per day:

B = 1/18 - 1/36 = 1/24

So, B alone can do the work in 24 days.

Explanation

Basic hourly rate = 2000 ÷ 40 = Rs. 50/hr  

Overtime rate = 50 + 25% of 50 = 50 + 12.5 = Rs. 62.5/hr  

Let overtime hours = x

Total wage = Rs. 2000 + 62.5x = 2500  

62.5x = 500 → x = 8 hours  

Total hours = 40 + 8 = 48 hours

Explanation

- Start time: 08:50

- Registration: 10 minutes → 08:50 + 10 min = 09:00

- 3 lessons × 55 minutes = 165 minutes → 09:00 + 165 min = 11:45

- Break: 15 minutes → 11:45 + 15 min = 12:00

- Lunch: 1 hour → 12:00 + 1 hour = 13:00