Vincen wrote:A man is a climbing up a 100-foot high mountain. Each day he climbs 30 feet but then falls 20 feet. How long does it take him to reach the top assuming that once he reaches the top he does not fall?
A. 7
B. 8
C. 9
D. 10
E. 11
Look for a PATTERN.
Every day the man climbs 20 feet from the height of the preceding day, then falls 20 feet.
1st day --> climb = 0+30 =
30, fall = 30-20 = 10.
2nd day --> climb = 10+30 =
40, fall = 40-20 = 20.
3rd day --> climb = 20+30 =
50, fall = 50-20 = 30.
As indicated by the values in blue, every day the climb increases by 10.
Thus:
4th day --> climb = 60
5th day --> climb = 70
6th day --> climb = 80
7th day --> climb = 90
8th day --> climb = 100.
The correct answer is
B.
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