A volunteer packs 120 aid boxes in 6 hours. Another packs at 150% of his rate. Together, how many in 4 hours?
Correct answer: C. 200
- A. 160
- B. 180
- C. 200
- D. 220
Explanation
To solve this problem, first calculate the packing rate of the first volunteer: 120 boxes in 6 hours results in a rate of 20 boxes per hour. The second volunteer works at 150% of this rate, which means they pack 30 boxes per hour (20 x 1.5 = 30). Together, their combined rate is 20 + 30 = 50 boxes per hour. Over 4 hours, they pack 50 x 4 = 200 boxes. Therefore, the correct answer is Option C: 200.Option A is incorrect because it underestimates the total boxes packed due to a miscalculated rate. Option B also underestimates the total due to not fully accounting for the second volunteer's efficiency. Option D is incorrect as it overestimates the total, assuming a rate that exceeds the actual combined output of the volunteers.
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Logical problems present several conditions about people, objects, events or choices and require their possible arrangements to be tested. They cover constraint-based reasoning, rankings, matching, grouping, scheduling and elimination, with attention to the difference between a complete solution and a possibility that merely satisfies one condition.
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