An insect begins climbing a wall 15 feet high every minute it ascends 2 feet but slides 6 inches. How much time will it reach the top:
Correct answer: C. 10
- A. 15
- B. 5
- C. 10
- D. None
Explanation
To solve the problem, convert all measurements to inches: the wall is 15 feet, which is 180 inches. Each minute, the insect ascends 24 inches (2 feet) and slides back 6 inches, resulting in a net gain of 18 inches per minute. By dividing the total height of the wall (180 inches) by the net gain per minute (18 inches), we find that it takes 10 minutes for the insect to reach the top.Option A (15 minutes) and Option B (5 minutes) are incorrect because they miscalculate the net progress per minute. Option D (None) is incorrect because the calculations show the insect does indeed reach the top in 10 minutes.
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