Geometry Puzzle – Challenge 74
Who can solve this great math puzzle quickly! The answer is given to help you improve your logic skills.
Challenge:
The capacity of a pool is 2100 cubic meters. There is one pope to fill the pool. The pope fills the pool at the rate of 5 cubic meters per 12 minutes. There is a hole at the bottom of the pool and the water exists from the pool at the rate of 3 cubic meters per 45 minutes. How many hours does it take to fill the pool completely?
A- 25
B- 60
C- 85
D- 100
E- 110
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The correct answer is D.
The pope fills the pool at the rate of 5 cubic meters per 12 minutes. So, the rate of filling the pool per hour is 5 × 5 = 25 cubic meters.
The water exists from the pool at the rate of 3 cubic meters per 45 minutes or 4 cubic meters per hour. Therefore, the pool will be filled at the rate of 25 cubic meters – 4 cubic meters = 21 cubic meters.
The capacity of a pool is 2100 cubic meters. So, it takes 100 hours (2100 ÷ 21 = 100) to fill the pool completely.
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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