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A builder uses 1000 nails in 20 minutes. A second builder uses 4000 nails in 70 minutes. How many fewer nails per minute does the slower builder use than the faster builder?

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Final answer:

Calculating the rate of nail usage per minute for both builders shows that the first builder uses 50 nails per minute, and the second builder uses 57.14 nails per minute, indicating that the second builder is faster, not slower.

Step-by-step explanation:

To determine how many fewer nails per minute the slower builder uses than the faster builder, we first need to calculate the nail usage rate for each builder. For the first builder, who uses 1000 nails in 20 minutes, we divide the number of nails by the number of minutes to find the rate:

  • 1000 nails ÷ 20 minutes = 50 nails per minute

For the second builder, who uses 4000 nails in 70 minutes, we perform the same calculation:

4000 nails ÷ 70 minutes = 57.14 nails per minute

Comparing these two rates, we see that the second builder is actually faster, using 57.14 nails per minute compared to the first builder's 50 nails per minute.

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