Multiple choice

Widgets Hours Breaks Rishi 28 4 2 Dillyn 42 6 4 Shane 27 5 2 Rishi, Shane, and Dillyn work at a widget factory. The table above shows the number of hours they each spent at the factory on a given day, the number of widgets they produced, and the number of 15-minute breaks they took while they were at the factory. Each man works at a constant rate. Rishi and Shane are each assigned an equal number of widgets. Neither will take breaks in order to complete this assignment as quickly as possible. I order that they both finish the assignment at the same time , Rishi offers to do a certain percentage of Shane's assignment. What percentage of Shane's original assignment does Rishi do?

  1. $12.5\%$
  2. $14.3\%$
  3. $16.7\%$
  4. $25\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Rishi's rate is 28/4 = 7 widgets/hr. Shane's rate is 27/5 = 5.4 widgets/hr. To finish the same number of widgets (let this be W) at the same time, they must work for the same duration. If they work for time T, 7T + 5.4T = 2W. Solving for T in terms of W, then finding how much of Shane's work Rishi covers, leads to the percentage.

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