A train starts at 1:45 PM from a station at a speed of 60 kmIhr. At what time will it reach a station 165 km away?

Options

A. 3.45 PM
B. 4.15 PM
C. 4.30 PM
D. 6.00 PM

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Identify the given information
- **Starting time**: 1:45 PM
- **Speed of the train**: 60 km/h
- **Distance to travel**: 165 km

### Step 2: Use the formula to find time
The formula to calculate time when distance and speed are known is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
Substituting the known values:
\[ \text{Time} = \frac{165 \text{ km}}{60 \text{ km/h}} \]

### Step 3: Perform the division
Calculating the time:
\[ \text{Time} = \frac{165}{60} = 2.75 \text{ hours} \]

### Step 4: Convert hours into hours and minutes
The decimal 0.75 hours can be converted into minutes:
\[ 0.75 \text{ hours} = 0.75 \times 60 \text{ minutes} = 45 \text{ minutes} \]
Thus, 2.75 hours is equivalent to 2 hours and 45 minutes.

### Step 5: Add the travel time to the starting time
Starting time is 1:45 PM. We will add 2 hours and 45 minutes to this time:
- Adding 2 hours to 1:45 PM gives us 3:45 PM.
- Now, adding 45 minutes to 3:45 PM:
- 3:45 PM + 45 minutes = 4:30 PM

### Final Answer
The train will reach the station at **4:30 PM**.

---