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In the figure above, AB represents a ramp and the circle represents a

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In the figure above, AB represents a ramp and the circle represents a  [#permalink]

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New post 23 Nov 2017, 23:29
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In the figure above, AB represents a ramp and the circle represents a wheel that has radius 1.5 feet. If the wheel is rolled up the top of the ramp, which of the following is closest to the number of revolutions it will make?

(A) 1 2/3
(B) 2
(C) 3 1/2
(D) 5
(E) 10

Attachment:
2017-11-23_2026_001.png
2017-11-23_2026_001.png [ 6.52 KiB | Viewed 445 times ]

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Re: In the figure above, AB represents a ramp and the circle represents a  [#permalink]

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New post 24 Nov 2017, 01:09
Bunuel wrote:
[img]https://gmatclub.com/forum/download/file.php?id=38810[img][/img][/img]
In the figure above, AB represents a ramp and the circle represents a wheel that has radius 1.5 feet. If the wheel is rolled up the top of the ramp, which of the following is closest to the number of revolutions it will make?

(A) 1 2/3
(B) 2
(C) 3 1/2
(D) 5
(E) 10

Attachment:
2017-11-23_2026_001.png


Circumference of circle = 2 * pie * r = 3* pie
Distance = 15
Revolutions = 15/3*pie = 35/22 = ~1 2/3

A
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Re: In the figure above, AB represents a ramp and the circle represents a  [#permalink]

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New post 24 Nov 2017, 10:11
1
Bunuel wrote:
[img]https://gmatclub.com/forum/download/file.php?id=38810[img][/img][/img]
In the figure above, AB represents a ramp and the circle represents a wheel that has radius 1.5 feet. If the wheel is rolled up the top of the ramp, which of the following is closest to the number of revolutions it will make?

(A) 1 2/3
(B) 2
(C) 3 1/2
(D) 5
(E) 10

Attachment:
2017-11-23_2026_001.png

In distance, D, problems with wheels and number of revolutions:

D = (circumference, c) * (# of revolutions), so

# of revolutions = \(\frac{D}{c}\)

D = ramp AB length = hypotenuse
The 3x-4x-5x right triangle has multiplier of 3:
(5*3)= 15 = ramp AB length = D*

Circumference of wheel A
2πr = 2π(1.5) = 3π
\(c = (3)(3.14)\approx{9.4}\)

# revolutions =
\(\frac{D}{c}=\frac{15}{9.4}\approx{1.59}\), or \(1.6\)

Answer A

Bunuel , the first image of the figure does not show up, though the one in the spoiler does. I tried two browsers.

*OR Pythagorean theorem, \(9^2 + 12^2 = h^2\)
\(81 + 144 = 225 = h^2\)
\(\sqrt{h^2}=\sqrt{225}\) , so \(h=15\)

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Re: In the figure above, AB represents a ramp and the circle represents a  [#permalink]

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New post 24 Nov 2017, 10:14
genxer123 wrote:
Bunuel wrote:
[img]https://gmatclub.com/forum/download/file.php?id=38810[img][/img][/img]
In the figure above, AB represents a ramp and the circle represents a wheel that has radius 1.5 feet. If the wheel is rolled up the top of the ramp, which of the following is closest to the number of revolutions it will make?

(A) 1 2/3
(B) 2
(C) 3 1/2
(D) 5
(E) 10

Attachment:
2017-11-23_2026_001.png

In distance, D, problems with wheels and number of revolutions:

D = (circumference, c) * (# of revolutions), so

# of revolutions = \(\frac{D}{c}\)

D = ramp AB length = hypotenuse
The 3x-4x-5x right triangle has multiplier of 3:
(5*3)= 15 = ramp AB length = D*

Circumference of wheel A
2πr = 2π(1.5) = 3π
\(c = (3)(3.14)\approx{9.4}\)

# revolutions =
\(\frac{D}{c}=\frac{15}{9.4}\approx{1.59}\), or \(1.6\)

Answer A

Bunuel , the first image of the figure does not show up, though the one in the spoiler does. I tried two browsers.

*OR Pythagorean theorem, \(9^2 + 12^2 = h^2\)
\(81 + 144 = 225 = h^2\)
\(\sqrt{h^2}=\sqrt{225}\) , so \(h=15\)

_______________
Edited. Thank you.
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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: In the figure above, AB represents a ramp and the circle represents a &nbs [#permalink] 24 Nov 2017, 10:14
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