A box of six popsicles was left out in the sun and is slowly melting. Every time a popsicle melts the remaining popsicles melt twice as fast as the previous one. How many times faster than the first popsicle does the last popsicle’s remains melt? Let's be accurate as possible.
The remains of the second popsicle melt 2 * 1 = 2 times as fast as the first. The remains of the third popsicle melt 2 * 2 = 4 times as fast as the first. The remains of the fourth popsicle melt 2 * 4 = 8 times as fast as the first. The remains of the fifth popsicle melt 2 * 8 = 16 times as fast as the first. The remains of the sixth popsicle melt 2 * 16 = 32 times as fast as the first popsicle.
The answer: 32.