Mechatronics - Puzzle #9 - Sand Clock?
We have two sand clock, one have the capacity to show 4 minutes and other have the capacity to
show 7 minutes.
By using the two sand clocks, you can use it single or combination of sand timers.
The target is to calculate time of 9 minutes.
This comment has been removed by the author.
ReplyDeleteStart both the clock at same time
ReplyDelete2. When 4min sand clock finishes - we calculated 4 Mins.
3. Invert the 4min sand clock
4. By the time 7min sand clock would finish, and 1 min will be remaining in 4min sand clock- now we
calculated total 7 Mins
5. Now invert the 7min sand clock, and within 1 min the 4min sand clock would finish, now we calculated a total of 8 Mins.
6. As soon as 4min sand clock finishes, invert the 7min sand glass.
7. As the one minute in 7min finishes we would have calculated a total of 9 Mins.
1.[(7:0),(4,0)], let's assume (7:0) as 7min hour glass where 7 is the time remaining in top of sand glass and 0 being the down of sand glass, similarly (4:0) is the 4min sand glass.
ReplyDelete2.[(3:4),(0,4)] - calculated 4 mins in total
3.[(3:4),(4:0)] - inverted 4min sand glass
4.[(0:7),(1:3)] - calculated 7 Mins in total
5.[(7:0),(1:3)] - inverted 7min sand glass
6.[(6:1),(0:4)] - calculated 8 Mins in total
7.[(1:6),(0:4)] - inverted 7min sand glass
8.[(0:7),(0:4)] - calculated 9 Mins in total
The beauty of this problem is sum of all numbers in each individual step will always be 11
nice...
Delete