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# A truck travels 20 miles due north, 30 miles due east, and then 20 mil

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Math Expert
Joined: 02 Sep 2009
Posts: 60625
A truck travels 20 miles due north, 30 miles due east, and then 20 mil  [#permalink]

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10 Jun 2016, 01:17
00:00

Difficulty:

15% (low)

Question Stats:

94% (01:12) correct 6% (02:19) wrong based on 52 sessions

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A truck travels 20 miles due north, 30 miles due east, and then 20 miles due north. How many miles is the truck from the starting point?

A. 20.3
B. 44.7
C. 50
D. 70
E. 120

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Joined: 06 Nov 2014
Posts: 1868
A truck travels 20 miles due north, 30 miles due east, and then 20 mil  [#permalink]

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10 Jun 2016, 02:02
Bunuel wrote:
A truck travels 20 miles due north, 30 miles due east, and then 20 miles due north. How many miles is the truck from the starting point?

A. 20.3
B. 44.7
C. 50
D. 70
E. 120

Attachment:

Distance.JPG [ 11.07 KiB | Viewed 3464 times ]

We have two right angle triangles with sides 20 and 15
The distance between starting and end point = sum of the hypotenuse of both the triangles.

Hypotenuse = [400 + 225]^(1/2) = 25
Hence the total distance between end point and starting point = 25 + 25 = 50

Correct Option: C
A truck travels 20 miles due north, 30 miles due east, and then 20 mil   [#permalink] 10 Jun 2016, 02:02
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