Tip can write 3 pages of term paper or solve 9 workbook problems in an hour, while Spot can write 4 pages of term paper or solve 4 workbook problems in an hour.If they each decide to work a total of 7 hours and to share their output, then if they produce as many pages of term paper as possible given that they produce 18 workbook problems,

A) Spot will spend all of his time writing term papers and Tip will spend some time at each task.
B) Tip will spend all of his time writing term papers and Spot will spend some time at each task.
C) both students will spend some time at each task.
D) Spot will write term papers only and Tip will do workbook problems only.
E) Tip will write term papers only and Spot will do workbook problems only.

Question

Sharona Ramlochan · Accepted Answer

Final Answer : A, Explanation :  Given that they need to produce 18 workbook problems in total and considering their individual rates, Spot, who solves workbook problems at a rate of 4 problems per hour, will spend 4.5 hours (18 problems / 4 problems per hour) on workbook problems, leaving 2.5 hours for term papers. Tip, with a rate of 9 problems per hour, can cover the 18 problems in 2 hours, leaving 5 hours for term papers. However, since Spot can only solve 4 problems per hour and they aim to produce exactly 18 problems, it's more efficient for Tip to focus on workbook problems for 2 hours and spend the remaining 5 hours on term papers. Spot, with a higher rate of writing term papers (4 pages per hour), will then logically spend all his time (7 hours) writing term papers to maximize output. This scenario maximizes the number of term paper pages produced while meeting the workbook problem requirement.

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