A worm can gnaw through 1 mm of paper for a single day. On a bookshelf there are two volumes, each 4 cm thick. Each of the covers is 2 mm thick. How long will it take the warm to gnaw from the first page of the first volume to the last page of the second volume?
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Help! my teacher gave us this brain teaser and i need a direct answer or just an explanation will do.
2 books means there are 4 covers.
The 4 covers are each 2mm thick.
And it takes 1 day for a worm to go through 1 mm.
The 2 books together are 4cm, or 40 mm.
The covers are together 4 x 2mm = 8cm.
40 - 8 = 32mm
The question asks how long it takes to go though the first page of the first volume to the last page of the second volume.
Thus the worm is not going through the first and last cover
Add 4 mm back
32 + 4 mm = 36 mm
So long will it take to go through 36 mm if the worm eats 1mm of paper a day?