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Starting from town S, Fred rode his bicycle 8 miles due east, 3 miles

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Joined: 10 Apr 2016
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Starting from town S, Fred rode his bicycle 8 miles due east, 3 miles  [#permalink]

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Updated on: 02 Jul 2017, 11:23
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25% (medium)

Question Stats:

78% (01:27) correct 22% (01:28) wrong based on 68 sessions

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Starting from town S, Fred rode his bicycle 8 miles due east, 3 miles due south, 2 miles due west and 11 miles due north, finally stopping at town T. if the entire region is flat. What is the straight line distance in miles between Town S and T?

a) 10
b) 8 $$\sqrt{2}$$
c) $$\sqrt{157}$$
d) 14
e) 24

Originally posted by PawanRamnani1234 on 10 Sep 2016, 10:57.
Last edited by carcass on 02 Jul 2017, 11:23, edited 1 time in total.
Edited by Carcass
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Re: Starting from town S, Fred rode his bicycle 8 miles due east, 3 miles  [#permalink]

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10 Sep 2016, 11:08
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PawanRamnani1234 wrote:
Starting from town S, Fred rode his bicycle 8 miles due east, 3 miles due south, 2 miles due west and 11 miles due north, finally stopping at town T. if the entire region is flat. What is the straight line distance in miles between Town S and T?

a) 10
b) 8 , root 2
c) root 157
d) 14
e) 24

A very simple question.

Answer is $$sqrt(8^2 + 6^2)$$ = 10. Hence, A.
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Re: Starting from town S, Fred rode his bicycle 8 miles due east, 3 miles  [#permalink]

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10 Sep 2016, 11:57
Hi PawanRamnani1234,

I'm going to give you some 'hints' so that you can try this question again on your own:

1) Try drawing a picture 'to scale' - you'll have 4 lines: right, down, left, then up.
2) Draw a line connecting the starting point with the ending point. That line is the diagonal of a RIGHT TRIANGLE.
3) Using the drawing, you can determine the 'base' and the 'height' of that right triangle.
4) Use the Pythagorean theorem to find the diagonal.

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Re: Starting from town S, Fred rode his bicycle 8 miles due east, 3 miles  [#permalink]

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07 Jul 2018, 14:33
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Starting from town S, Fred rode his bicycle 8 miles due east, 3 miles &nbs [#permalink] 07 Jul 2018, 14:33
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