A train starts moving from a place X at 7:00 a.m. and arrives at another place Y at 1:00 pm on the same day. If the speed of the trains 15m/s, then what will be the distance (in km) covered by the train?

Options

A. 324
B. 375
C. 390
D. 345

Answer

To solve the problem, we need to determine the distance covered by the train using the formula for distance, which is:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

### Step-by-Step Solution:

**Step 1: Calculate the total time taken by the train.**

The train starts at 7:00 a.m. and arrives at 1:00 p.m. To find the total time taken, we calculate the difference between these two times.

- From 7:00 a.m. to 1:00 p.m. is 6 hours.

**Step 2: Convert the speed from meters per second to kilometers per hour.**

The speed of the train is given as 15 m/s. To convert this speed into kilometers per hour (km/h), we use the conversion factor:

\[ 1 \text{ m/s} = 3.6 \text{ km/h} \]

So,

\[ \text{Speed in km/h} = 15 \text{ m/s} \times 3.6 \text{ km/h per m/s} = 54 \text{ km/h} \]

**Step 3: Calculate the distance using the formula.**

Now that we have the speed in km/h and the time in hours, we can calculate the distance.

Using the formula:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Substituting the values we have:

\[ \text{Distance} = 54 \text{ km/h} \times 6 \text{ hours} = 324 \text{ km} \]

### Final Answer:
The distance covered by the train is **324 km**.

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