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13. Answer: First, determine how far Bob would travel to catch the chicken if the chicken and Bob both ran forward on a straight line. Add to this the distance that Bob would travel to catch the chicken if they ran towards each other on a straight line. Divide the result by 2 and you have the distance that Bob travels. In this case, the chicken is 250 yards away, and the speeds of Bob and the chicken are in proportion of 4 to 3. So, if both ran forward on a straight line, Bob would travel 1,000 yards to overtake the chicken. If they traveled towards each other, Bob would travel four-sevenths of 250, or 142 6/7 yards. Adding the two distances and dividing by 2 gives us 571 3/7 yards for the distance traveled by Bob. Since the chicken runs at three-fourths the speed of Bob, it will have traveled three-fourths of Bob's distance, or 428 4/7 yards.
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