Subjects algebra

Typing Speed Increase

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1. **State the problem:** Jack initially types at 80 words per minute (wpm). After two weeks, his speed increases by 3%. By the end of the course, he types a 1,680-word document in 20 minutes. We need to find the total percent increase in his typing speed from the beginning to the end of the course. 2. **Calculate Jack's speed after the 3% increase:** Initial speed = 80 wpm Increase = 3% of 80 = $0.03 \times 80 = 2.4$ wpm Speed after 3% increase = $80 + 2.4 = 82.4$ wpm 3. **Calculate Jack's final typing speed at the end of the course:** He types 1,680 words in 20 minutes. Speed = $\frac{1680}{20} = 84$ wpm 4. **Calculate the total percent increase from the initial speed to the final speed:** Percent increase = $\frac{\text{final speed} - \text{initial speed}}{\text{initial speed}} \times 100$ = $\frac{84 - 80}{80} \times 100 = \frac{4}{80} \times 100 = 5\%$ 5. **Answer:** The total percent increase in Jack's typing speed from the beginning to the end of the course is **5%**.