In a cave, a stalactite gets 4 millimeters longer each year. This year it is 72 centimeters long. How many years until it is 1 meter long?
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Given : in a cave, a stalactite gets 4 millimeters longer each year.
This year it is 72 centimeters long.
To Find : How many years until it is 1 meter long
Solution:
1 m = 100 cm
1 cm = 100 m
Current length = 72 cm
Length after x years = 1 m = 100 cm
Length increased in x years = 100 -72 = 28 cm
1 cm = 10 mm
=> Length increased in x years = 28 * 10 = 280 mm
Length increase in 1 year = 4 mm
=> Length increase in x year = 4x mm
Equate both
=> 4x = 280
=> x = 70
its 70 years until it is 1 meter long
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