Math  /  Algebra

QuestionThe ends of a bar have to be machined down until the bar is 3 m long. After 5%5 \% of the length had been removed, it was found that 0.5%0.5 \% of the new length still had to come off. What length was removed at each machining and what was the original length of the bar?

Studdy Solution
Calculate the lengths removed at each machining.
Calculate R1 R_1 : R1=0.05×3.173 R_1 = 0.05 \times 3.173 R10.15865meters R_1 \approx 0.15865 \, \text{meters}
Calculate R2 R_2 : R2=0.00475×3.173 R_2 = 0.00475 \times 3.173 R20.01507meters R_2 \approx 0.01507 \, \text{meters}
The original length of the bar was approximately 3.173meters 3.173 \, \text{meters} . The length removed at the first machining was approximately 0.15865meters 0.15865 \, \text{meters} . The length removed at the second machining was approximately 0.01507meters 0.01507 \, \text{meters} .

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