The Lion is Hungry!

A person being chased by a lion is running in a straight line towards his car at a constant speed of \(4\) \(ms^{-1}\).The car is at a distance of \(\mathcal {d}\) metres away from the person. The lion is \(26\) \(\text {m}\) behind the person and running at a constant speed of \(6\) \(\text{ms}^{-1}\). The person reaches the car safely . What is the maximum possible value of \(\mathcal {d}\) in metres ?

Note: Suppose that the person takes no time to sit in the car.

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