I am using Table Layout to display data as shown below.

What i want to do
My guess - change the layout_width and get rid of the gravity:
<TextView
android:id="@+id/textView2"
android:layout_width="match_parent"
android:layout_height="wrap_content"
android:layout_centerVertical="true"
...
>
</TextView>
The easiest way I can think of is to wrap each TableRow content with a LinearLayout like this:
<TableLayout
xmlns:android="http://schemas.android.com/apk/res/android"
android:id="@+id/tableLayout1"
android:layout_width="match_parent"
android:layout_height="match_parent" >
<TableRow
android:id="@+id/tableRow2"
android:layout_width="match_parent"
android:layout_height="wrap_content"
android:paddingBottom="10dp" >
<LinearLayout
android:layout_width="wrap_content"
android:layout_height="match_parent" >
<ImageView
android:id="@+id/place_category_icon"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:layout_centerVertical="true"
android:contentDescription="ss"
android:paddingRight="10dp"
android:src="@drawable/ic_launcher" />
<TextView
android:id="@+id/textView2"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:layout_centerVertical="true"
android:layout_gravity="center"
android:text="230 kms"
android:textSize="16sp" >
</TextView>
</LinearLayout>
</TableRow>
<TableRow
android:id="@+id/tableRow2"
android:layout_width="match_parent"
android:layout_height="wrap_content"
android:paddingBottom="10dp" >
<LinearLayout
android:layout_width="wrap_content"
android:layout_height="match_parent" >
<ImageView
android:id="@+id/place_category_icon"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:layout_centerVertical="true"
android:contentDescription="ss"
android:paddingRight="10dp"
android:src="@drawable/ic_launcher" />
<TextView
android:id="@+id/textView2"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:layout_centerVertical="true"
android:layout_gravity="center"
android:text="Hill Station, Wild Life"
android:textSize="16sp" >
</TextView>
</LinearLayout>
</TableRow>
<TableRow
android:id="@+id/tableRow2"
android:layout_width="match_parent"
android:layout_height="wrap_content"
android:paddingBottom="10dp" >
<LinearLayout
android:layout_width="wrap_content"
android:layout_height="match_parent" >
<ImageView
android:id="@+id/place_category_icon"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:layout_centerVertical="true"
android:contentDescription="ss"
android:paddingRight="10dp"
android:src="@drawable/ic_launcher" />
<TextView
android:id="@+id/textView2"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:layout_centerVertical="true"
android:layout_gravity="center"
android:text="Summer 23-40°C, Winter 10-32°C"
android:textSize="16sp" >
</TextView>
</LinearLayout>
</TableRow>
<TableRow
android:id="@+id/tableRow2"
android:layout_width="match_parent"
android:layout_height="wrap_content"
android:paddingBottom="10dp" >
<LinearLayout
android:layout_width="wrap_content"
android:layout_height="match_parent" >
<ImageView
android:id="@+id/place_category_icon"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:layout_centerVertical="true"
android:contentDescription="ss"
android:paddingRight="10dp"
android:src="@drawable/ic_launcher" />
<TextView
android:id="@+id/textView2"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:layout_centerVertical="true"
android:layout_gravity="center"
android:text="Tippus Drop, Tippus Summer Residence, Brahmashram, Cycling, Paragliding"
android:textSize="16sp" >
</TextView>
</LinearLayout>
</TableRow>
</TableLayout>
And this is the result:

Hope I correctly understood your requirements.
Since a TableRow is pretty much a horizontally oriented LinearLayout, simply use the principles of weights to make the TextView fill up all the space after the ImageView. It means you'd have to change the rows to somewhat like this:
<!-- no need to set width/height as those are implicitly enforced -->
<TableRow
android:id="@+id/tableRow2"
android:paddingBottom="10dp" >
<ImageView
android:id="@+id/place_category_icon"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:contentDescription="ss"
android:paddingRight="10dp"
android:src="@drawable/icon_category" />
<!-- width of '0' and weight of '1' will make this view fill up all remaining space -->
<TextView
android:id="@+id/textView2"
android:layout_width="0dp"
android:layout_height="wrap_content"
android:layout_weight="1"
android:layout_gravity="center_vertical"
android:text="230 kms"
android:textSize="16sp" />
</TableRow>
I've also removed/changed some superfluous attributes. Do mind that I just typed this directly in the browser - there may be the odd typo or tweak required.