# 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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