A cargo ship unloads 300 containers in 12 hours. A crane with 50% more capacity is brought in. How much time will both take together to unload 300 containers?
Correct answer: A. 4.8 hrs
- A. 4.8 hrs
- B. 7.2 hrs
- C. 8 hrs
- D. 9 hrs
Explanation
To solve this problem, we first calculate the work rate of the original crane, which is 25 containers per hour (300 containers/12 hours). The new crane has a capacity that is 50% greater, resulting in a work rate of 37.5 containers per hour (1.5 * 25). Therefore, the combined work rate of both cranes is 62.5 containers per hour (25 + 37.5). To unload 300 containers, the time required is calculated as 300 containers / 62.5 containers per hour = 4.8 hours.
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