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Bob leaves point A and drives due west to point B. From point B, he dr

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Bob leaves point A and drives due west to point B. From point B, he dr  [#permalink]

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New post 13 Feb 2019, 23:27
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Question Stats:

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Bob leaves point A and drives due west to point B. From point B, he drives due south to point C. How far is Bob from his original location?

(1) Point A is 24 miles from point B.

(2) Point B is 18 miles from point C.

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Re: Bob leaves point A and drives due west to point B. From point B, he dr  [#permalink]

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New post 13 Feb 2019, 23:44
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Solution



Given:
    • Bob leaves point A and drives due west to point B.
    • From point B, Bob drives due south to point C.
To find:
    • The distance Bob is now, from his original position.

Analysing Statement 1
As per the information given in statement 1, point A is 24 miles from point B.
    • However, from this statement we cannot find out the distance between point B and point C, or the direct distance between point A and point C.

Hence, statement 1 is not sufficient to answer the question.

Analysing Statement 2
As per the information given in statement 2, point B is 18 miles from point C.
    • However, from this statement we cannot find out the distance between point A and point B, or the direct distance between point A and point C.

Hence, statement 2 is not sufficient to answer the question.

Combining Both Statements
Combining both, we can say
    • Point A to point B = 24 miles
    • Point B to point C = 18 miles
    • Therefore, distance AC = \(\sqrt{(24^2 + 18^2)}\) = 30 miles

Hence, the correct answer is option C.

Answer: C

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Re: Bob leaves point A and drives due west to point B. From point B, he dr  [#permalink]

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New post 14 Feb 2019, 11:34
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SajjadAhmad wrote:
Bob leaves point A and drives due west to point B. From point B, he drives due south to point C. How far is Bob from his original location?

(1) Point A is 24 miles from point B.

(2) Point B is 18 miles from point C.


Plot on values as given

we can see it will be a right angled triangle
#1 AB = 24 miles
BC & AC not known in sufficient
#2
BC = 18
AB & CA not known
in sufficient

from 1 & 2
3:4:5 right angled triangle
so AC = 30
IMO C
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Re: Bob leaves point A and drives due west to point B. From point B, he dr   [#permalink] 14 Feb 2019, 11:34
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Bob leaves point A and drives due west to point B. From point B, he dr

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