Claire, Isabelle, Molly and Mya have to walk through a long dark tunnel. They only have one torch between them so a maximum of two people can go through the tunnel at any one time. Each person takes a different amount of time to get through the tunnel and if two people walk together they must walk at the rate of the slowest.
Claire takes 2 minutes,
Isabelle takes 4 minutes,
Molly takes 7 minutes,
Mya takes 9 minutes.
What is the least amount of time for all four to walk through the tunnel?
If Molly and Mya walk through the tunnel together it will take 9 minutes, If Molly then walks the torch back through the tunnel a total of 16 minutes will have passed. Continue till all four are at the other end of the tunnel.
Topics: Starter | Logic | Problem Solving | Puzzles
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Teacher, do your students have access to computers such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:
However it would be better to assign one of the student interactive activities below.
Here is the URL which will take them to Tran Tunnels, a mathematical adventure.