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In the morning, Carly has an average reading speed of 250 words per minute. In the afternoon, when she...

In the morning, Carly has an average reading speed of 250 words per minute. In the afternoon, when she starts getting tired, her reading speed drops to 230 words per minute. For her literature class, Carly needs to read at least 28,000 words in an assigned novel by the end of the day. She doesn't want to spend more than 2 hours reading in all.
Carly prefers reading in the afternoon. What is the minimum number of minutes that Carly can spend reading in the morning while sticking within her constraints?
_____ minutes

Answer

Let x be the number of minutes Carly reads in the morning. To minimize morning reading, she can use the full 120 minutes, leaving 120 − x minutes for the afternoon.

250x + 230(120 − x) ≥ 28,000
20x + 27,600 ≥ 28,000
x ≥ 20

The minimum is 20 minutes in the morning, with 100 minutes in the afternoon.

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