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# Did You Figure it Out? Get the Answer to the Riddle from E-News Issue No. 5, November 2018

2018-11-07

## How Long Has Peter Lived in the Village?

The traffic in the village increased 15% each year.

A few years ago, Peter moved from the city to a small, quiet village in the countryside. In the beginning, a car only drove past his house every eighth minute, Little by little, the small village grew, and the traffic increased 15% each year. Today, Peter looks back at the time that has passed and says: "The quiet years are long gone. Now, twice as many cars drive past my house as in the beginning."

How long has Peter been living in the village?

## Solution

Based on percentages, the following calculation results:

• In the first year 100 % cars drove past Peter’s house
• In the second year 115 % (100 * 1.15)
• In the third year 132.25 % (115 * 1.15)
• In the fourth year 152.09 % (132.25 * 1.15)
• In the fifth year 174.90 % (152.09 * 1.15)
• In the sixth year 201.13 % (174.90 * 1.15)

Since twice as many cars—meaning 200 %—now pass by Peter's house, according to this calculation, he has already lived in the village for six years.

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