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 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) 1/16  B) 5/16  C) 3/8  D) 1/2  E) 1/4
John will run farther if he runs at 5 mph and Amanda runs at 4 mph.   P(John runs farther) = 1/4 * 1/4 = 1/16   The answer is 1/16.
<result>A</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 4, 5, 6, or 7 miles per hour. What is the probability that John has traveled farther than Amanda by the time they meet?