Step 1 :

Linear approximation : $\"\"$ .

Where, $\"\"$ is the final resistance,

$\"\"$ is the initial resistance,

$\"\"$ is the temperature difference and

$\"\"$ is the temperature coefficient.

Step 2 :

From the given data :

$\"\"$ ,

$\"\"$

$\"\"$ .

Substitute corresponding values in $\"\"$ .

$\"\"$

Resistance increase $\"\"$ .

Thus, the resistance increase of the motor attains a temperature of $\"\"$ when running is $\"\"$ .