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

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Joined: 02 Nov 2016
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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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13 Feb 2019, 23:27
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Difficulty:

15% (low)

Question Stats:

88% (00:36) correct 13% (00:41) wrong based on 40 sessions

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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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Joined: 04 Jan 2015
Posts: 3074
Re: Bob leaves point A and drives due west to point B. From point B, he dr  [#permalink]

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13 Feb 2019, 23:44
1

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.

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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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14 Feb 2019, 11:34
1
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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