Restless Milo

Algebra Level pending

John and his pet dog Milo are walking towards their home at a speed of 5 miles per hour on a straight road. When they are about 2 miles away from home Milo becomes restless and runs faster than John heading towards the home at a speed of 15 miles per hour, while John continues to walk towards home at the same speed of 5 miles per hour. Once Milo reaches the house it turns back and runs towards John(while he continues to walk in towards home). Once Milo reaches John it turns and starts to run back towards the home. Milo keeps running between the home and John till John reaches home. What is the total distance run by the dog from the time it started running faster than John ? Please disregard any acceleration/deceleration and assume John and Milo maintain perfect uniform speed.

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