Explanation

Explanation

To find the required speed, we first calculate the distance covered by the train:

$$text{Distance} = text{Speed} times text{Time} = 45 , text{km/h} times 5 , text{hours} = 225 , text{km}$$

Now, to cover this 225 km in 3 hours, the required speed is:

$$$$Speed=Distance/Time=225 km/3 hours=75 km/h

Explanation

Let the height of the building be x meters.

Less lengthy shadow, Less in the height (Direct Proportion)

∴ 40.25 : 28.75 :: 17.5 : x ⇔ 40.25 × x = 28.75 × 17.5

Explanation

To find the fraction that is less than 7/8 and greater than 1/3, we need to compare the given options:

• Convert all fractions to equivalent decimals:

    - 7/8 = 0.875

    - 1/3 = 0.333

    - 17/24 = 0.708

    - 1/4 = 0.25

    - 23/24 = 0.958

    - 11/12 = 0.917

• Identify the fraction that falls between 0.333 and 0.875:

    - 17/24 = 0.708 (this is the only fraction that meets the condition)

So, the correct answer is: 17/24

Explanation

x + y = 30 ... (Equation 1)

x - y = 8 ... (Equation 2)

We can solve these equations by adding them together, which eliminates y:

2x = 38

Dividing both sides by 2 gives us:

x = 19

Now that we have x, we can find y by substituting x into Equation 1:

19 + y = 30

Subtracting 19 from both sides gives us:

y = 11

Now that we have both x and y, we can find their product:

Product = x * y

= 19 * 11

= 209

Explanation

(7^a) (7^b) = (7^c) (7^d)

Using the property of exponents, we get:

7^(a+b) = 7^(c+d)

Equating the exponents, we get:

a + b = c + d

Rearranging the terms, we get:

d = a + b - c

Explanation

Explanation

Let's say the base of the triangle is x. Since the height is 4 less than the base, the height is x - 4.

Using the Pythagorean theorem:

Base² + Height² = Hypotenuse²

x² + (x - 4)² = 10²

Solving for x, we get x = 8.

So, the base is 8 cm and the height is 8 - 4 = 4 cm.

Explanation

The ratio of Ali's amount to Asim's amount is:

$$text{Ratio} = frac{20}{16} = frac{5}{4}$$

So, the correct ratio is 5:4.

Explanation