A man walked diagonally across the squarefield. Can he save any time by not walking
along the edges? Justify your answer.
Answers
Answer :-
Let us assume that, side of square is 10 cm and speed of man is 1 cm / sec .
so,
→ Time taken by man to cover two edges = Distance / speed = (10 + 10) / 1 = 20 seconds .
now,
→ Diagonal of square = √2 * side = 10√2 cm .
then,
→ Time taken by man to cover distance along diagonal = D/S = 10√2/1 = 10√2 = 10*1.41 = 14.1 ≈ 14 seconds.
therefore,
→ Time saved by man = 20 - 14 = 6 seconds .
hence, we can conclude that, the man will always save time by not walking along the edges .
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