High School

Castel left the science museum and traveled toward the mountains. Sumalee left one hour later traveling 10 km/h faster in an effort to catch up to him. After two hours, Sumalee finally caught up. What was Castel's average speed? Show your work.

Answer :

Castel's average speed from the science museum to mountains is 20 km/h

Average speed

Let x represent Castel' average speed.

Sumalee left one hour later and caught up with Castel after two hours, Let us assume the distance covered is d:

For Castel:

  • x = d / 3
  • d = 3x

For Sumalee:

  • x + 10 = d / 2
  • d = 2x + 20

3x = 2x + 20

x = 20 km/h

Therefore Castel's average speed from the science museum to mountains is 20 km/h

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