A

Given:
- Radius of the circular road, R
- Acceleration, a = 1 m/s²
- Coefficient of friction, µ = 0.2
- Initial speed, u = 0 (starting from rest)

Step 1: Calculate the maximum speed before skidding using the formula:
v_{max} = µ * g * R, where g is the acceleration due to gravity (approx. 9.81 m/s²).
Substituting the values:
v_{max} = 0.2 * 9.81 * R
v_{max} = 1.962 * R

Step 2: Use the equation of motion to find the time taken to reach this speed.
v = u + a * t
Therefore, t = (v_{max} - u) / a = (1.962 * R - 0) / 1 = 1.962 * R.

Thus: The time at which the car will skid is t = 1.962 * R seconds.