Given the height of a cat on top of a table to the highest point of a turtle on the ground is 170cm and the height of the same turtle on the table to the highest point of the same cat on the ground is 130 cm.
How tall is the table?
This puzzle ta…
Given the height of a cat on top of a table to the highest point of a turtle on the ground is 170cm and the height of the same turtle on the table to the highest point of the same cat on the ground is 130 cm.
How tall is the table?
This puzzle taken from an elementary student's homework in China.
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Take a minute to solve this math problem.
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Answer:
This math problem requires some algebra to solve.
First we need to make some variables:
Let h be the height of the table and let c and t be the heights of the cat and turtle respectively.
From the diagram on the left we see that:
The height of the cat + the table is the same as the height of the turtle + 170 cm.
c + h = 170 + t
From the diagram on the right we see that:
The height of the turtle + the table is equal to the height of the cat's + 130 cm.
t + h = 130 + c
So now if we add both equations together we can cancel out c and t and end up with:
c + h + 2h = 300 + t + c
Cancelling out c and t and simplifying we get:
2h = 300
h = 150
So the height of the table is 150 cm!
And that's how you solve the Chinese homework table problem.
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