A man in a car at location \( Q \) on a straight highway is moving with speed \( u \). He decide...

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A man in a car at location \( Q \) on a straight highway is moving with speed \( u \). He decides to reach a point \( P \) in a field at a distance \( d \) from highway (point \( M \) ) as shown in the figure. Speed of the car in the field is half to that on the highway. What should be the distance \( R M \) so that the time taken to reach \( P \) is minimum?
(a) \( \frac{d}{\sqrt{3}} \)
(b) \( \frac{d}{2} \)
(c) \( \frac{d}{\sqrt{2}} \)
(d) \( d \)
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