To find out how many words can be typed in 180 seconds, we start by determining the typing speed of the typist.
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First, calculate the rate of words per second: \[ \text{Rate} = \frac{120 \text{ words}}{100 \text{ seconds}} = 1.2 \text{ words/second} \]
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Next, we can use this rate to find out how many words can be typed in 180 seconds: \[ \text{Words in 180 seconds} = 1.2 \text{ words/second} \times 180 \text{ seconds} = 216 \text{ words} \]
Thus, the number of words that can be typed in 180 seconds is 216 words.