..............MAGIC POLE........ There is a vertical pole of height 40 feet. It is a magic pole which grows vertically upwards , uniformly at the rate of 3 feet per minute. A man climbs the pole from the bottom at the rate of 5 feet per minute ; He starts climbing when it was 40 feet. Once he reaches the top of the pole and touches it, the pole will stop growing. Find the time taken by the man to reach the top of the pole and the height of the pole at that time.