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:

$$30-5=25$$

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

Explanation

Worker-days = Workers × Days

= 5 × 12 = 60 worker-days.

Last verified on 07-09-2026

Explanation

Total work = 72 workers 40 days = 2880 worker-days

For 64 workers:

Days = 2880 / 64 = 45 days

Last verified on 07-10-2026

Explanation

Net north = 10 − 6 = 4 km

East = 3 km

Distance from starting point = √(4² + 3²) = √25 = 5 km

Last verified on 10-11-2026

Explanation

• Speed = 12 km/h
• Time = 15 minutes = 15/60 = 1/4 hour

Formula:

Distance = Speed x Time 

= 12 x 1/4

$$= 12 times frac{1}{4}$$ =3 km

Last updated 06 Nov 2026 by NA