The distance travelled by the caterpillar is 1.5 m
Explanation:
We can solve the problem in the following way:
We know that for every 2 cm climbed up by the caterpillar, it also slides down by 1 cm.
This means, for instance, that when the caterpillar climbs up 4 cm, it also slided down a total of 2 cm; if it climbed up 10 cm, he has slided down a total of 5 cm, etc..
Here we know that the distance climbed up by the caterpillar is
[tex]d_{up}=1 m[/tex] (the height of the wall)
This means that the distance through which the caterpillar has slided down is
[tex]d_{down} = 0.5 m[/tex]
Therefore, the total distance travelled by the caterpillar is
[tex]d=d_{up}+d_{down} = 1.0 + 0.5 = 1.5 m[/tex]
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