A remote village has only one well as its water source. Water is pumped from the well at a constant rate every year. As a result, the water level in the well has been decreasing linearly with time. After a recent study, scientists estimated that the well had 5000 liters of water in 2005, and 3500 liters in the year 2015. Looking at this trend, when is the well expected to dry out?
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Answer:
The well dries up after 23 years and 4 months.
Step-by-step explanation:
1. Between the years 2005 and 2015 is 10 years
2. The water decreases by 1500 liters in these 10 years ( 5000 liters - 3500 liters = 1500 liters)
3. Calculate the rate of reduction per year:
1500 liters / 10 years = 150
Rate of reduction is 150 liters/ year.
4. Calculate the number of years the well takes to dry out:
If 1 150 liters is used up in 1 year
Then 3500 liters will be used up in:
3500 liters × 1 year/ 150 liters
= 3500/150 years
= 23 1/3 years ( 23 years and 4 months)
⇒Therefore the well dries up after 23 years and 4 months.
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