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 2, 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?  Choose the correct choice from the following
A) 1/5	B) 2/5	C) 3/10	D) 3/20	E) 7/20
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) = 1/4 * 2/5 = 2/20   John will run farther if he runs at 4 mph and Amanda runs at 3 mph.   In this case, P(John runs farther) = 1/4 * 1/5 = 1/20   P(John runs farther) = 2/20 + 1/20 = 3/20   The answer is 3/20.
<result>D</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 2, 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?