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Samir spent 12\frac{1}{2} as long working on his physics homework as Cory did. If Samir spent 4040 minutes on his physics homework, how long did Cory spend on his physics homework?\newlineA) 2020 minutes\newlineB) 4040 minutes\newlineC) 6060 minutes\newlineD) 8080 minutes

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Q. Samir spent 12\frac{1}{2} as long working on his physics homework as Cory did. If Samir spent 4040 minutes on his physics homework, how long did Cory spend on his physics homework?\newlineA) 2020 minutes\newlineB) 4040 minutes\newlineC) 6060 minutes\newlineD) 8080 minutes
  1. Reasoning: Reasoning: Samir spent half the time Cory did.\newlineCalculation: Let Cory's time be x x minutes. So, x2=40 \frac{x}{2} = 40 .
  2. Calculation: Reasoning: Solve for x x .\newlineCalculation: Multiply both sides by 22 to get x x .\newlinex=40×2 x = 40 \times 2 \newlinex=80 x = 80
  3. Reasoning: Reasoning: Check the math.\newlineCalculation: 802=40 \frac{80}{2} = 40 , which matches Samir's time.

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