Question

A telephone tree is used to send messages. the person at the top calls 2 people. each person calls 2 more people. suppose it takes 1 min to call someone. a message is relayed until the bottom row of the tree has 256 people. how long did this take? how do you know? the tree has 8 rows because each time a person calls 2 people, they call two more people.

Answer 1

Time taken by people in 8rows of given tree with each time a person calls 2 people and it takes 1 min to call someone is 510 minutes.

As given,

Given tree: Person at the top calls 2 people. each person calls 2 more people

Time taken by each person to call someone=1minute

Row wise

First1 +1=2

Second2+2=4

Third4+4=8

Fourth8+8=16

Fifth16+16=32

Sixth32+32=64

Seventh64+64=128

Eighth128+128=256

Total time

2 +4+8+16+32+64 +128 +256=510 minutes

Therefore, time taken by people in 8rows of given tree with each time a person calls 2 people and it takes 1 min to call someone is 510 minutes.

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