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Beginning in Town A, Biker Bob rode his bike 10 miles west, 3 miles no
[#permalink]
02 Feb 2023, 04:05
02 Feb 2023, 04:05
Expert Reply
00:00
Question Stats:
75% (01:39) correct
25% (02:35) wrong based on 4 sessions
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Beginning in Town A, Biker Bob rode his bike 10 miles west, 3 miles north, 5 miles east, and then 9 miles north to Town B. How far apart are Town A and Town B? (Assume perfectly flat terrain.)
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13 miles
Beginning in Town A, Biker Bob rode his bike 10 miles west, 3 miles no
[#permalink]
18 Feb 2023, 06:25
18 Feb 2023, 06:25
Expert Reply
OE
If you draw a rough sketch of the path Biker Bob takes, as shown to the right, you can see that the direct distance from A to B forms the hypotenuse of a right triangle. The short leg (horizontal) is 10 − 5 = 5 miles, and the long leg (vertical) is 9 + 3 = 12 miles. Therefore, you can use the Pythagorean theorem to find the direct distance from A to B:
\(5^2+12^2=c^2\)
\(c=13\)
If you draw a rough sketch of the path Biker Bob takes, as shown to the right, you can see that the direct distance from A to B forms the hypotenuse of a right triangle. The short leg (horizontal) is 10 − 5 = 5 miles, and the long leg (vertical) is 9 + 3 = 12 miles. Therefore, you can use the Pythagorean theorem to find the direct distance from A to B:
\(5^2+12^2=c^2\)
\(c=13\)
gmatclubot
Beginning in Town A, Biker Bob rode his bike 10 miles west, 3 miles no [#permalink]
18 Feb 2023, 06:25
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