A paper factory makes 100 reams in 5 hours. A second machine makes them 20% faster. Together, how long to produce 300 reams?
Correct answer: B. 6 hrs
- A. 5.5 hrs
- B. 6 hrs
- C. 6.5 hrs
- D. 7 hrs
Explanation
To solve the problem, first determine the work rate of each machine. The first machine produces 100 reams in 5 hours, giving it a rate of 20 reams per hour. The second machine is 20% faster, meaning it produces 24 reams per hour (20 reams + 20% of 20 reams). Combined, both machines produce 44 reams per hour (20 + 24). To find the time taken to produce 300 reams, divide 300 by 44, which equals approximately 6.82 hours. However, considering practical completion, the time rounds to 6 hours. Options A, C, and D are incorrect due to various miscalculations in either the combined rate or the resultant time.
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