Explanation

Use the work formula: 

Workers × Days × Hours per day / Units = constant

Case 1: 

30 workers, 20 days, 8 hours/day, 3000 units

Case 2: 

32 workers, D days, 10 hours/day, 2000 units

So,

(30 × 20 × 8) / 3000 = (32 × D × 10) / 2000

4800 / 3000 = 320D / 2000

1.6 = 0.16D

D = 1.6 / 0.16 = 10

Last verified on 05-08-2026

Explanation

Work (in worker-days) = 15 × 12 = 180

Days for 10 workers = 180 ÷ 10 = 18 days.

Last verified on 13-11-2026

Explanation

Given:  

15 workers complete the work in 20 days  

Step 1: Find total work  

Total work = Number of workers x Number of days  

Total work = 15 x 20 = 300  

Step 2: Find workers needed for 10 days  

Let the required number of workers = W  

W x 10 = 300  

W = 300 / 10  

W = 30  

Last verified on 13-11-2026

Explanation

Explanation

1. Current Ages:

   • Let Zoya’s current age be $x$
   • Then, Zaid’s current age is $6x$ (since he is six times as old as Zoya).

2. The sum of Ages in 7 Years:

   • In 7 years, Zoya's age will be $x + 7$ and Zaid's age will be $6x + 7$.
   • The sum of their ages in 7 years will be $(x+7)+(6x+7)=49$.

Step 1: Formulate the Equation

x+7+6x+7=49
$$7x+14=49$$

Step 2: Solve for $x$

Subtract 14 from both sides:

$$7x=35$$

Now divide by 7:

$$x=5$$

So, Zoya’s current age is $5$ years and Zaid’s current age is:

$$6x=6\times 5=30$$

Step 3: Determine Zaid’s Age When Zoya Was Born

When Zoya was born, Zaid would have been:

$$30-5=25$$

$$Last\; updated\; on\; 12\; NOV\; 2026$$