Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Physics For Scientists & Engineers
Found in: Page 19

Answers without the blur.

Just sign up for free and you're in.


Short Answer

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.


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

See the step by step solution

Step by Step Solution

Step 1: Finding the time interval required for the task

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 h=3600 s
  • 1 work week=40 h.

Then we can calculate the time taken to count money as

T=1000000×1s$1×1 h3600 s×1 work week40 h=106×1 s$1×1 h3600 s×1workweek40h=1000000144000work weeks= 6.94 work weeks

Here is the time required for the task.

Step 2: Deriving the final solution 

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.

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.