Given three tasks with durations of 20, 25, and 40 minutes, and a total available time of 60 minutes, how many tasks can you complete?

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Multiple Choice

Given three tasks with durations of 20, 25, and 40 minutes, and a total available time of 60 minutes, how many tasks can you complete?

Explanation:
Maximizing how many tasks you can complete within a fixed time. The total time needed for all three tasks is 85 minutes, which is more than the 60 minutes available, so you can’t do every task. To see how many you can fit, test pairs of tasks: 20 plus 25 equals 45, which fits; 20 plus 40 equals 60, which fits exactly; but 25 plus 40 equals 65, which doesn’t fit. Since at least two tasks can fit within the time, you can complete two tasks, and you can’t do more than two because all three would exceed the limit.

Maximizing how many tasks you can complete within a fixed time. The total time needed for all three tasks is 85 minutes, which is more than the 60 minutes available, so you can’t do every task. To see how many you can fit, test pairs of tasks: 20 plus 25 equals 45, which fits; 20 plus 40 equals 60, which fits exactly; but 25 plus 40 equals 65, which doesn’t fit. Since at least two tasks can fit within the time, you can complete two tasks, and you can’t do more than two because all three would exceed the limit.

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