Nicholas is 5 and Briana is 3. I asked Nicholas to build a Lego tower 10 blocks

Question

Nicholas is 5 and Briana is 3. I asked Nicholas to build a Lego tower 10 blocks tall. For that, I promised him an ice cream cone. The Legos are on one side of the room and the tower base is on the other. Nicholas decides to build the tower one block at a time. So, he gets the first block, plants it on the base, and goes for another block. Meanwhile, I told Briana that I'd give her a cookie if she would bring me 5 blocks from the tower, one block at a time. She moves just as fast as Nicholas. Explain how long it would take Nicholas to get his ice cream cone based on the number of blocks I ask Briana to bring me.

If you can rationalize this analogy, you can explain the chemical timer.

CAUTION: The analogy fails if extended to other aspects of the chemistry.

Explanation / Answer

in this problem Nicholas has to start first as Briana has to bring blocks from tower


block brought by Nicholas block taken by Briana total bock at base time 1 0 1 t
   1 1 1 2t
   1 1 1 3t
1 1 1 4t
1 1 1 5t
   1 1 1 6t
   1 0( 5 completed she stops here) 2 7t
1 0 3 8t
1 0 4 9t
1 0 5 10t
1 0 6 11t
1 0 7 12t
1 0 8 13t
1 0 9 14t
   1 0 10 (tower built) 15t


total time to build is time taken by Briana to remove block + time taken by Nicholas to put the block =
5 + 10 = 15 t
if Briana brings n blocks and total tower to build is of N blocks and speed to putting and removing blocks is same given by lets say t
so at Nt +nt = total time Nicholas will get his ice cream

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