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Question
Ansgar is writing a novel. He writes seven days a week. On each of those days he writes for at least 4 hours but never more than 8 hours. Last week, he wrote for exactly 46 hours. What is the maximum number of days on which he could have written for 8 hours?
Ansgar is writing a novel. He writes seven days a week. On each of those days he writes for at least 4 hours but never more than 8 hours. Last week, he wrote for exactly 46 hours. What is the maximum number of days on which he could have written for 8 hours?
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Solution
The correct option is C 4 days
Ansgar writes for at least 4 hours a day, so in 7 days he writes for at least 28 hours (because4×7=28).On any day that he wrote for 8 hours, he would have written for an additional 4 hours over the minimum.Thus, the week he wrote 46 hours, he wrote for an extra 18 hours(because46−28=18).As a result, he could have written for an additional 4 hours on no more than 4 different days.Therefore answer is 4days
Ansgar writes for at least 4 hours a day, so in 7 days he writes for at least 28 hours (because4×7=28).On any day that he wrote for 8 hours, he would have written for an additional 4 hours over the minimum.Thus, the week he wrote 46 hours, he wrote for an extra 18 hours(because46−28=18).As a result, he could have written for an additional 4 hours on no more than 4 different days.
Therefore answer is 4days
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