1. These people have much time. They
hurry.
2. They
solve this problem fast. It is urgent.
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Raymond Murphy. English grammar in use. Cambridge: CUP, 379p,
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1. These people have much time. They hurry.

In this sentence, there is a contradiction between the fact that these people have a lot of time and the fact that they are hurrying. This doesn't make sense logically. We need to correct the sentence to make it coherent.

Revised sentence: These people have little time. They hurry.

Explanation: The original sentence implies that these people have a lot of time, but it contradicts with the second part of the sentence which says they hurry. By changing "much" (which means a large amount) to "little" (which means a small amount), we make the sentence consistent and logical. It means that these people have only a small amount of time, so they are in a hurry.

2. They solve this problem fast. It is urgent.

In this sentence, there is a logical connection between solving the problem quickly and the fact that it is urgent. This sentence makes sense as it is.

Explanation: The sentence states that "they solve this problem fast." This means that they are able to find a solution to the problem quickly. The reason for their speed in solving the problem is mentioned in the second part of the sentence, "it is urgent." This suggests that the problem needs to be solved quickly because of its importance or time-sensitivity. Therefore, there is a logical connection between solving the problem fast and its urgency.

Please note that the source mentioned at the end is a book by Raymond Murphy called "English Grammar in Use." It is a well-known English grammar resource which provides detailed explanations and examples for various grammar topics.