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Q1-58P.

Expert-verifiedFound in: Page 19

Book edition
9th Edition

Author(s)
Raymond A. Serway, John W. Jewett

Pages
1624 pages

ISBN
9781133947271

**Question: Why is the following situation impossible? In an effort to boost interest in a television game show, each weekly winner is offered an additional $ 1 Million bonus prize if he or she can personally count out that exact amount from a supply of one-dollar bills. The winner must do this task under supervision by television show executives and within one 40 hours work week. To the dismay of the show’s producers, most contestants succeed at the challenge.**

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**Answer **

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It takes 6:9 Weeks . So It is not possible to count the $ 1 million dollar in one 40 Hour work week.

Write the equation for the time required to complete the task, if the winner counts the dollar per second without stopping.

Here $ Million dollars are equal to 1000000 dollars

Available data:

- .$1\text{h}=3600\text{s}$
- $1\text{work}\text{week}=\text{40}\text{h}$.

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Then we can calculate the time taken to count money as

$T=1000000\times \left(\frac{1\u200as}{\$1}\right)\times \left(\frac{1\text{h}}{3600\text{s}}\right)\times \left(\frac{1\text{work}\text{week}}{\text{40}\text{h}}\right)\phantom{\rule{0ex}{0ex}}={10}^{6}\times \left(\frac{1\text{s}}{\$1}\right)\times \left(\frac{1\text{h}}{3600\text{s}}\right)\times \left(\frac{1\u200a\text{work}\u200a\text{week}}{\text{40}\u200a\text{h}\u200a}\right)\phantom{\rule{0ex}{0ex}}=\frac{1000000}{144000}\text{work}\text{weeks}\phantom{\rule{0ex}{0ex}}=\text{6.94}\text{work}\text{weeks}\phantom{\rule{0ex}{0ex}}$

Here is the time required for the task.

Therefore this task needs . As it needs a long time, it is impossible to complete the task within the time limit. Because the time limit given by the television executive is one work week, it takes more than one work week.

Thus, it takes 6.9 Weeks. So It is not possible to count the dollar in one 40 hour work week.

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