The program below (also here) simulates a race between Achilles and a Tortoise. Achilles is twice as fast, so should overtake the Tortoise (who has a head start of 100 distance units). String a = "Achilles"; String t = "Tortoise"; double aPos = 0; double tPos = 100; double aSpeed = 20; double tSpeed = 10; double totalTime = 0; while (aPos < tPos) { System.out.println("At time: " + totalTime); System.out.println(" " + a + " is at position " + aPos); System.out.println(" " + t + " is at position " + tPos); double timeToReach = (tPos - aPos) / aSpeed; totalTime = totalTime + timeToReach; aPos = aPos + timeToReach * aSpeed; tPos = tPos + timeToReach * tSpeed; }

I have a quick question here in that it's apparent that if we let aPos + timeToReach * aSpeed = tPos + timeToReach * tSpeed, it's easy to conclude that timeToReach will be 10. However, since we use while here, which indicates iteration in Java, the computer gets 3.55 x 1014 at the end. So what is the logic of applying such an algorithm