John and Amanda stand at opposite ends of a straight road and start running towards each other at the same moment. Their rates are randomly selected in advance so that John runs at a constant rate of 3, 4, or 5 miles per hour and Amanda runs at a constant rate of 3, 4, 5, 6, or 7 miles per hour. What is the probability that John has traveled farther than Amanda by the time they meet?	Select.
A) 1/2 B) 1/3 C) 1/5 D) 2/15 E) 4/15
John will run farther if he runs at 5 mph and Amanda runs at 4 mph or 3 mph.   In this case, P(John runs farther) = 1/3 * 2/5 = 2/15   John will run farther if he runs at 4 mph and Amanda runs at 3 mph.   In this case, P(John runs farther) = 1/3 * 1/5 = 1/15   P(John runs farther) = 2/15 + 1/15 = 3/15 = 1/5   The answer is 1/5.
<result>C</result>
John and Amanda stand at opposite ends of a straight road and start running towards each other at the same moment. Their rates are randomly selected in advance so that John runs at a constant rate of 3, 4, or 5 miles per hour and Amanda runs at a constant rate of 3, 4, 5, 6, or 7 miles per hour. What is the probability that John has traveled farther than Amanda by the time they meet?