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The question asks for two things:

1. The speed of the train that covers 255 km in \(1 \frac{1}{2}\) hours.
2. The distance the train would cover in \( \frac{3}{4} \) hours.

### Step 1: Convert mixed fractions to improper fractions

- The time given is \(1 \frac{1}{2}\) hours, which is equivalent to:
  \[
  1 \frac{1}{2} = \frac{3}{2} \text{ hours.}
  \]
  
### Step 2: Calculate the speed

We know that:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}.
\]

Using the information from the problem:
\[
\text{Speed} = \frac{255 \text{ km}}{\frac{3}{2} \text{ hours}} = 255 \times \frac{2}{3} = 170 \text{ km/h}.
\]

### Step 3: Calculate the distance covered in \( \frac{3}{4} \) hours

Now that we know the speed is 170 km/h, we can calculate the distance the train would cover in \( \frac{3}{4} \) hours:
\[
\text{Distance} = \text{Speed} \times \text{Time} = 170 \times \frac{3}{4} = 127.5 \text{ km}.
\]

### Final Answer:
1. The speed of the train is **170 km/h**.
2. The train would cover **127.5 km** in \( \frac{3}{4} \) hours.

Do you want more details or have any questions?

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Here are 5 related questions:
1. What would the speed be if the train covered 300 km in 2 hours?
2. How long would it take the train to cover 510 km at the same speed?
3. What is the distance covered by a train moving at 120 km/h in 3 hours?
4. How would the time change if the speed is increased by 20% but the distance remains 255 km?
5. What would the train’s speed be if it took 2 hours to cover 255 km?

**Tip:** Always ensure units of distance and time match when calculating speed, distance, or time.

A train at a uniform speed covers a distance of 255 km in 1 1/2 hours. Find the speed of the train and the distance covered in 3/4 hours.

Find the speed of a train covering 255 km in 1 1/2 hours and calculate the distance it covers in 3/4 hours. This step-by-step solution involves the speed-distance-time formula and mixed fraction conversion. Suitable for middle school students.

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