Explanation

Let the present age of the son = x years.

Present age of the father = 45 − x years.

5 years ago:

Father's age = 40 − x

Son's age = x − 5

According to the question:

40 − x = 6(x − 5)

40 − x = 6x − 30

70 = 7x

x = 10

Son's present age = 10 years.

Father's present age = 45 − 10 = 35 years.

Last verified on 08-10-2026

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

Let son's age now = x

Father's age now = 4x

After 20 years:

Son = x + 20

Father = 4x + 20

According to question:

4x + 20 = 2 * (x + 20)

4x + 20 = 2x + 40

4x - 2x = 40 - 20

2x = 20

x = 10

Son is 10 years old now (Father is 40).

Last verified on 07-10-2026

Explanation

Given:

• Train length = 90 m
• Tunnel length = 231 m
• Time = 11 seconds

Distance covered = 90 + 231 = 321 m

Speed = Distance ÷ Time
= 321 ÷ 11 = 29.18 m/s

Convert to km/h:

29.18 × 18/5 = 105.05 km/h

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:

$$30-5=25$$