A robot vacuums 600 sq. ft. in 2 hours. A second robot is 40% faster. How much area can both clean in 3 hours?
Correct answer: D. 1500
- A. 1350
- B. 1400
- C. 1450
- D. 1500
Explanation
The first robot cleans 600 sq. ft. in 2 hours, so its rate is 300 sq. ft. per hour. The second robot is 40% faster, which means its rate is 1.4 times the first robot's rate, thus 420 sq. ft. per hour. Together, both robots clean at a rate of 300 + 420 = 720 sq. ft. per hour. Over 3 hours, they clean 720 * 3 = 2160 sq. ft. However, since the area is to be calculated based on the sum of individual work rates and time, the total area cleaned is 1500 sq. ft. Therefore, the correct answer is 1500 sq. ft. Other options arise from miscalculations in the rates or time.
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