Nick has done 35% of his homework. He had been working for 28 minutes. How long will it take him to finish his homework?

35/28 = 100/x

35x = 2800
x = 80

80 - 28 = 52 minutes

To find out how long it will take Nick to finish his homework, we need to determine the remaining percentage of his homework that needs to be completed.

Since Nick has already done 35% of his homework, the remaining percentage can be calculated by subtracting 35% from 100%, which gives us 65%.

Now, let's determine the time it takes Nick to complete 1% of his homework. We can do this by dividing the time he has already spent (28 minutes) by the percentage he has completed (35%).

Time per 1% = Time spent / Percentage completed
Time per 1% = 28 minutes / 35%
Time per 1% ≈ 0.8 minutes (rounded to one decimal place)

To find out how long it will take him to finish the remaining 65%, we can multiply the time per 1% by the remaining percentage.

Time to finish remaining homework = Time per 1% x Remaining percentage
Time to finish remaining homework = 0.8 minutes x 65%
Time to finish remaining homework ≈ 52 minutes (rounded to the nearest whole minute)

Therefore, it will take Nick approximately 52 minutes to finish his homework.