112th Problem 2016
Algebra
Level
2
Borro takes a job starting with an hourly wage of $14 and is promised a raise of $5 per hour per two months for 5 years.
After 5 years, what would be Borro's hourly wage?
Check out the set: 2016 Problems .
The answer is 164.
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1 solution
We know that 5 years = 30 half years.
So, the wages follow an arithmetic progression 1 9 , 2 4 , 2 9 , ⋯ .
The wage at the end of 5 years is the 30th term of this arithmetic progression = 1 9 + ( 3 0 − 1 ) × 5 = 1 9 + 1 4 5 = 1 6 4 .