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Sub 505 Level|   Geometry|                        
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In cross section, a tunnel that carries one lane of one-way traffic is 30 Oct 2020, 13:36
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JeffTargetTestPrep
Bunuel
In cross section, a tunnel that carries one lane of one-way traffic is a semicircle with radius 4.2 m. Is the tunnel large enough to accommodate the truck that is approaching the entrance to the tunnel?

(1) The maximum width of the truck is 2.4 m
(2) The maximum height of the truck is 4 m

We are given that a tunnel in the shape of a semicircle has a radius of 4.2 meters. Since it has a radius of 4.2 meters and hence a diameter of 8.4 meters, its maximum height is 4.2 meters and its maximum width is 8.4 meters. We need to determine whether the tunnel is large enough to fit a particular truck.

Statement One Alone:

The maximum width of the truck is 2.4 m.

Using the information in statement one, we can determine that the width of the truck (2.4 m) can fit within the tunnel that has a diameter 8.4 m. However, since we do not know the maximum height of the truck, we cannot determine whether it can fit in the tunnel. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

The maximum height of the truck is 4 m.

Although we know the maximum height of the truck, without knowing the maximum width of the truck, we cannot determine whether the truck can fit through the tunnel. Statement two alone is not sufficient to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

From the given information and the statements, we know that the width of the tunnel is 8.4 m, the maximum height of the tunnel is 4.2 m, the maximum width of the truck is 2.4 m, and the maximum height of the truck is 4 m. Since we have all of the necessary dimensions of the truck and the tunnel, we have the information to determine whether the truck would fit through the tunnel. Note that it is not necessary to perform the calculations, but the answer is yes, the truck can pass through the tunnel.

Answer: C
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JeffTargetTestPrep Could the "maximun height" be read as smaller than _____?
If so, you need to do the math? Because if it could be (or not) bigger than the tunnel it would be e.
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In cross section, a tunnel that carries one lane of one-way traffic is 15 Jan 2021, 07:09
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Bunuel
In cross section, a tunnel that carries one lane of one-way traffic is a semicircle with radius 4.2 m. Is the tunnel large enough to accommodate the truck that is approaching the entrance to the tunnel?

(1) The maximum width of the truck is 2.4 m
(2) The maximum height of the truck is 4 m
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(1) The Height of the Truck may be more than 4.2 m. Insufficient.

(2) No information about the width of the truck. Insufficient.

Considering both:
Height and width both are given. Sufficient.

The answer is C
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In cross section, a tunnel that carries one lane of one-way traffic is 06 May 2021, 11:07
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Bunuel
In cross section, a tunnel that carries one lane of one-way traffic is a semicircle with radius 4.2 m. Is the tunnel large enough to accommodate the truck that is approaching the entrance to the tunnel?

(1) The maximum width of the truck is 2.4 m
(2) The maximum height of the truck is 4 m
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Answer: Option C

Video solution by GMATinsight

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In cross section, a tunnel that carries one lane of one-way traffic is 17 Sep 2022, 11:20
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avigutman
Video solution from Quant Reasoning:
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@avitgutman,

You are a rockstar, as usual!

To clarify, I always thought that height was larger than the width. To confirm, this rule is false and in reality, the width or height can be larger?
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In cross section, a tunnel that carries one lane of one-way traffic is 19 Jul 2025, 05:20
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