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A field can be plowed by 12 machines in 7 hours. If four machines are in need of repair, how many hours will it take to plow the field with the remaining machines?

7.5 hours

8.5 hours

9.5 hours

10.5 hours

To determine how many hours it will take to plow the field with the remaining machines after four are out for repairs, first calculate the total amount of machine hours needed to complete the task.

Initially, 12 machines can plow the field in 7 hours. The total machine hours required for the job is:

Total machine hours = Number of machines × Time required

Total machine hours = 12 machines × 7 hours = 84 machine hours.

Now, if four machines are out for repair, that leaves 8 machines available (12 machines - 4 machines).

To find out how many hours it will take these 8 machines to complete the same amount of work, divide the total machine hours by the number of available machines:

Hours required = Total machine hours / Number of available machines

Hours required = 84 machine hours / 8 machines = 10.5 hours.

Thus, with only 8 machines working, it will take 10.5 hours to plow the field, making this the correct answer.

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