Question

A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 3.36 m/s. The car is a distance d away. The bear is 26.7 m behind the tourist and running at 4.51 m/s. The tourist reaches the car safely. What is the maximum possible value for d?

Answer 1

Given:

The tourist is initially at a distance from the car.

The initial distance between the bear and the car is

Speed of the tourist,

Speed of the bear,

Speed = Distance/Time

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Consider the tourist

Let be the time taken by the tourist to reach the car safely when is maximum.

Speed = Distance/Time

----------------(1)

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Consider the bear

The bear will have the same time to cover the distance , almost catching the tourist.

Speed = Distance/Time

---------------(2)

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From (1) and (2)

ANSWER:

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