P12 0567 131007
There is a rectangular field with sides 80 and 60 metres. A dog at A spots a rabbit at B and starts chasing it at the same moment that the rabbit begins to run away. The rabbit runs at 20 kmph straight on to its burrow at the other end of the field at C. The dog knows he cannot catch the rabbit if he goes to B and then to C and takes a diagonal course keeping his quarry in sight and always running directly towards it. Since the dog’s speed is 25 kmph, at what point along BC will he catch the rabbit ?
( Fig Dog and Rabbit).
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