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Scarecrow and the Tin Man are walking in a field toward Emerald City! When they start walking, Scarecrow is 25 meters away and Tin Man is 40 meters away. Scarecrow is walking at a rate of 5 meters per minute and Tin Man is walking at a rate of 10 meters per minute. After how many minutes will Scarecrow and Tin Man be the same distance from Emerald City? What are two equations to solve this problem?

2 Answers

5 votes

Time be x distance be y

  • y=25-5x
  • y=40-10x

Solve for x

  • 25-5x=40-10x
  • 5x=40-25
  • 5x=15
  • x=3min
User Jlam
by
5.0k points
3 votes

Answer:

  • 3 minutes

Explanation:

Required equations are:

  • d = 25 - 5x and
  • d = 40 - 10x

Since d is same for both, we substitute d and solve for x:

  • 25 - 5x = 40 - 10x
  • 10x - 5x = 40 - 25
  • 5x = 15
  • x = 3

They will be at same distance after 3 minutes

User Tasnim Reza
by
5.9k points