Let's determine the missing time in the timetable by following a logical and step-by-step approach. The given data tells us that the journey times for the columns are always the same.
### Step 1: Calculate Journey Times
#### Column 1:
- Journey from Reading to Worle:
- Reading: 13:15
- Worle: 14:55
- Total duration: [tex]\( 14:55 - 13:15 = 1 \text{ hour and } 40 \text{ minutes} \)[/tex]
#### Column 3:
- Journey from Reading to Worle:
- Reading: 14:25
- Worle: 16:05
- Total duration: [tex]\( 16:05 - 14:25 = 1 \text{ hour and } 40 \text{ minutes} \)[/tex]
So the total journey time from Reading to Worle in both columns is 1 hour and 40 minutes.
### Step 2: Apply the Total Journey Time to Column 2
For Column 2:
- The train departs from Reading at 13:30.
- We need to find the arrival time at Worle.
We know that the total travel time is 1 hour and 40 minutes, so let's add this duration to the Reading departure time.
[tex]\[ \text{Reading time (Column 2)} = 13:30 \][/tex]
[tex]\[ \text{Total journey time} = 1 \text{ hour and } 40 \text{ minutes} \][/tex]
Adding these:
[tex]\[ 13:30 + 1 \text{ hour} = 14:30 \][/tex]
[tex]\[ 14:30 + 40 \text{ minutes} = 15:10 \][/tex]
Thus, the arrival time at Worle for Column 2 is:
[tex]\[ \boxed{15:10} \][/tex]
So, the time that goes in the gap for the Worle station in Column 2 is 15:10.
