A juice company fills 240 bottles in 3 hours. A second machine fills 150/hr. If both work, how many bottles in 2 hours?
Correct answer: B. 700
- A. 660
- B. 700
- C. 720
- D. 750
Explanation
To solve this problem, first, determine the rate at which each machine fills bottles. The first machine fills 240 bottles in 3 hours, so its rate is 240/3 = 80 bottles per hour. The second machine fills 150 bottles per hour. When both machines work together, their combined rate is 80 + 150 = 230 bottles per hour. Over 2 hours, they will fill 230 * 2 = 460 bottles. Therefore, in 2 hours, they fill a total of 460 bottles, making option B (700) correct. Options A, C, and D result from errors in calculating rates or time, leading to underestimations or overestimations.
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