text: # Problem 2-99 - v-t graph - Part 7 - (b)
  
  Two cars, $A$ and $B$, are stopped for a red light beside each other at an intersection. The light turns green and the cars accelerate. Their velocity time graphs are shown in the figure below. (The positive direction is "forward.")
  
  (a) At what time(s) do $A$ and $B$ have the same velocity?
  (b) When does $B$ overtake $A$? (Hint: Their displacements must be equal at that time and displacement can be found from a velocity time graph.)
  (c) How far have the cars traveled when $B$ overtakes $A$?
  
  Accumulated Solution
  
  The velocities are equal at $t = 45\; s$
  $d_{A,60} = (1/2)(15\;m/s)(30\;s) + (15\;m/s)(30\;s) = 675\; m$
  $d_{B,60} = (1/2)(20\;m/s)(60\;s) = 600\; m$
  
  No. Look at the graph.
  
  Try again.
explanation: The document contains a math problem with multiple questions and partial answers. It describes a scenario involving two cars, A and B, and their velocity-time graphs. The questions ask about the time when the velocities of the cars are the same, when car B overtakes car A, and how far the cars have traveled when B overtakes A. The document also includes some partial solutions and hints.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Problem 2-99 - v-t graph - Part 7 - (b)
  
  Two cars, $A$ and $B$, are stopped for a red light beside each other at an intersection. The light turns green and the cars accelerate. Their velocity time graphs are shown in the figure below. (The positive direction is "forward.")
  
  (a) At what time(s) do $A$ and $B$ have the same velocity?
  (b) When does $B$ overtake $A$? (Hint: Their displacements must be equal at that time and displacement can be found from a velocity time graph.)
  (c) How far have the cars traveled when $B$ overtakes $A$?
  
  Accumulated Solution
  
  The velocities are equal at $t = 45\; s$
  $d_{A,60} = (1/2)(15\;m/s)(30\;s) + (15\;m/s)(30\;s) = 675\; m$
  $d_{B,60} = (1/2)(20\;m/s)(60\;s) = 600\; m$
  
  No. Look at the graph.
  
  Try again.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math problem with multiple questions and partial answers. It describes a scenario involving two cars, A and B, and their velocity-time graphs. The questions ask about the time when the velocities of the cars are the same, when car B overtakes car A, and how far the cars have traveled when B overtakes A. The document also includes some partial solutions and hints.
  
  Label: multiple-question-and-answer