A boat capsized and sank in a lake. Based on an assumption of a mean weight of 130 lb, the boat was rated to carry 70 passengers (so the load limit was 9,100 lb). After the accident, it was found that the boat had 75 passengers on board. What can we conclude?

A. The boat was overloaded.
B. The boat was not overloaded.
C. The boat's weight limit was exactly met.
D. Not enough information to determine.

Question

17-10-2024
Physics

High School

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A boat capsized and sank in a lake. Based on an assumption of a mean weight of 130 lb, the boat was rated to carry 70 passengers (so the load limit was 9,100 lb). After the accident, it was found that the boat had 75 passengers on board. What can we conclude?

A. The boat was overloaded.
B. The boat was not overloaded.
C. The boat's weight limit was exactly met.
D. Not enough information to determine.

Answer :

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prernasonker96 prernasonker96 · Answer 1 · 2025-01-27T06:49:15-05:00

Final answer:

Based on the weight limit and the number of passengers, the boat was overloaded beyond its rated capacity at the time of the accident.

Explanation:

Based on the information provided, we can conclude that the boat was overloaded. The boat's rated capacity, assuming a mean weight of 130 lb per passenger, would be able to safely carry 70 passengers without exceeding the load limit of 9100 lb.

Mathematically this makes sense, as 70 passengers multiplied by the assumed mean weight of 130 lb gives us 9100 lb. However, there were 75 passengers on board at the time of the accident. This means the actual load was 9750 lb (75 multiplied by 130), which is clearly beyond the boat's rated capacity.

However, it was found that the boat had 75 passengers on board. If we assume a mean weight of 130 lb per passenger, the total weight of the passengers alone would be 75 * 130 = 9,750 lb, which exceeds the load limit. Therefore, we can conclude that the boat was overloaded.

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