After moving for 2 hours and 45 minutes, the snail will be perpendicular to the line with it started along.
The snail is moving along a straight line and it changes its direction in every three minutes at a right angle. The snail continues to move in such manner for the next 2 hours and 45 minutes.
We know,
1 hours = 60 minutes
2 hours = 120 minutes
The total time for which the snail moves is (120+45) minutes.
Total time for which snail moves is 165 minutes.
We should use hit and trial method here,
In this method, we use the possibilities to the calculate the result.
The snails turns uncle every 3 minutes, so the total times he turns is,
Total turns = 165/3
Total turns = 55 turns
When it turns for the 1st time,
It perpendicular to the initial line,
When it turns for the 2nd time,
It is parallel to the initial line,
On observing the pattern, we can see,
That every odd number turn is perpendicular to the initial line at every even number turn is parallel to the initial line.
So, on the 55th turn, as it is odd number,
The snail will be perpendicular to the initial line.
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