Hi. Hope everyone is well. I am stuck on the following question. Please can you help me out.

Thanks

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Aug 14, 2020 12:09 pm

Hi. Hope everyone is well. I am stuck on the following question. Please can you help me out.

Thanks

7 Replies

Aug 14, 2020 12:23 pm

If you pretend the lengths outside the square are just "1m", the diagonal inside the square will be root 2 metres (due to pythagoras' theorem).

So making a ratio out of this:

Maria : Simon

Root 2 : 4

If you want it in its simplest form, divide both sides by root 2 and you get

1 : 4/root 2

= 1 : 2 x root 2

Aug 18, 2020 1:22 pm

speed = distance/time

Assume that the length of the square is 1m and Maria and Simon both took 1 second to travel their respective distances.

Maria's speed = (root 2)/1 = root 2

Simon's speed = 4/1 = 4

Initial ratio = root 2:4

The question asks us to give the ratio in the form of n:1.

Just divide both sides by 4 to get (what should be) the answer:

(root 2)/4:1

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