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Miguel is making an obstacle course for field day. At the end every sixth of the course,there is a tire. at the end of every third of the course ,there is a cone. At the end of half of the course,there is a hurdle. At which locations of the course will people need to go through more than one obstacle

Sagot :

People will need to go through more than one obstacle at three places in the course:  The 1/3 mark, the 1/2 mark, and the 2/3 mark.

The tires are at these spots
--\--\--\--\--\--\

The cones are at these spots
----\----\----\

And the hurdles are here:
------\------\

When you combine these:
--\--\\--\\--\\--\--\\\

You get two marks at the 1/3, 1/2, 2/3, and Final spots (Final can be 1, 2/2, 3/3, or 6/6.)
the people will have to go through these obstacles more than once:
The tires are here
--\--\--\--\--\--
The cones are here
---\---\---
but this would be the hurdle which is at the end of half the course
----\----
only one spot so it would only be the first two cuz they are repeated