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A ship can carry a cargo of 25.5 tons, and have a room for

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Director
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A ship can carry a cargo of 25.5 tons, and have a room for [#permalink]

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08 Sep 2004, 15:47
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A ship can carry a cargo of 25.5 tons, and have a room for no more than
17 containers. What is the weight of each container, if all the containers
are equal?

A) Less than 1.5 tons
B) Less than 2 tons
C) Excatly 2.5 tons
D) More than 1.5 tons.
E) More than 2 tons.
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Joined: 05 Sep 2004
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08 Sep 2004, 16:55
I would go with A.

25.5 tons/17 containers = 1.5 ton per container

The containers would have to weigh less than 1.5 tons each to actually carry something inside them. Otherwise, you can try to make a living off transporting air in those containers across the body of water.

BTW, I assume when the problem says that the ship has room for no more than 17 containers, it means that the ship has room for no more than 17 empty containers in terms of volume.
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08 Sep 2004, 18:19
intr3pid wrote:
I would go with A.

25.5 tons/17 containers = 1.5 ton per container

The containers would have to weigh less than 1.5 tons each to actually carry something inside them. Otherwise, you can try to make a living off transporting air in those containers across the body of water.

BTW, I assume when the problem says that the ship has room for no more than 17 containers, it means that the ship has room for no more than 17 empty containers in terms of volume.

wow, I never thought of mentally emptying the containers to get the gist of this problem. I for my part would assume that the containers are full and would go with B. I also assume that the cargo is at max capacity with the 17 containers... Otherwise, each full container could potentially weigh more than 2 tons. Too many assumptions in this problem. I'm not too fond of it.
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Paul

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08 Sep 2004, 18:24
A) Less than 1.5 tons
B) Less than 2 tons
C) Excatly 2.5 tons
D) More than 1.5 tons.
E) More than 2 tons.

25.5/17 = 1.5 -->cargo + container
So continer has to be less than 1.5tons
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08 Sep 2004, 18:39
Paul wrote:
intr3pid wrote:
I would go with A.

25.5 tons/17 containers = 1.5 ton per container

The containers would have to weigh less than 1.5 tons each to actually carry something inside them. Otherwise, you can try to make a living off transporting air in those containers across the body of water.

BTW, I assume when the problem says that the ship has room for no more than 17 containers, it means that the ship has room for no more than 17 empty containers in terms of volume.

wow, I never thought of mentally emptying the containers to get the gist of this problem. I for my part would assume that the containers are full and would go with B. I also assume that the cargo is at max capacity with the 17 containers... Otherwise, each full container could potentially weigh more than 2 tons. Too many assumptions in this problem. I'm not too fond of it.

I got A too.

Paul, I am trying to understand how you arrived at B. If there were 17 containers, each weighing 1.9 pounds, then the total weight would be more than 25.5. How do you justify <2 pounds?
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08 Sep 2004, 18:43
B is just a more conservative answer.
A says that each container is less than 1.5 tons. What if the containers each weigh exactly 1.5 tons? A does not account for that.
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Paul

08 Sep 2004, 18:43
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A ship can carry a cargo of 25.5 tons, and have a room for

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