A train starts moving from a place P at 10:00 a.m. and arrives at another place Q at 5:30 p.m. on the same day. If the speed of the train is 50 km/hr, then what will be the distance (in km) covered by the train?

Options

A. 424
B. 390
C. 375
D. 225

Answer

To find the distance covered by the train, we can follow these steps:

### Step 1: Determine the total travel time
The train starts at 10:00 a.m. and arrives at 5:30 p.m. To find the total travel time, we need to calculate the time from 10:00 a.m. to 5:30 p.m.

- From 10:00 a.m. to 12:00 p.m. is 2 hours.
- From 12:00 p.m. to 5:30 p.m. is 5 hours and 30 minutes.

So, the total travel time is:
\[ 2 \text{ hours} + 5 \text{ hours} + 30 \text{ minutes} = 7 \text{ hours} + 30 \text{ minutes} = 7.5 \text{ hours} \]

### Step 2: Use the speed to calculate the distance
We know the speed of the train is 50 km/hr. We can use the formula for distance:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Substituting the values we have:
\[ \text{Distance} = 50 \text{ km/hr} \times 7.5 \text{ hours} \]

### Step 3: Perform the multiplication
Now, we calculate:
\[ \text{Distance} = 50 \times 7.5 = 375 \text{ km} \]

### Conclusion
The distance covered by the train from place P to place Q is **375 km**.

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