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The toll T, in dollars, for a truck using a certain bridge is given by

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The toll T, in dollars, for a truck using a certain bridge is given by [#permalink]

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The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?

(A) $ 2.50
(B) $ 3.00
(C) $ 3.50
(D) $ 4.00
(E) $ 5.00
[Reveal] Spoiler: OA

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Re: The toll T, in dollars, for a truck using a certain bridge is given by [#permalink]

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Number of wheels in truck = 18
Number of wheels on its front axle =2
number of wheels remaining = 16
number of axles remaining axles = 16/4 = 4
Total number of axles = 5

T = 1.50 + 0.50( x − 2)
= 1.50 + .5*3
= 1.5 +1.5 = 3 $
Answer B
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Re: The toll T, in dollars, for a truck using a certain bridge is given by [#permalink]

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New post 24 Jun 2016, 03:15
Total number of wheels on the truck = 18
Number of wheels on front axle = 2
Remaining number of wheels is 16
but each of the other axles have 4 wheels on each of them
so remaining number of axles = \(\frac{16}{4}\) = 4 axles
so the truck has 5 axles in total i.e x= 5
substituting this value in given formula
T = 1.50 + 0.50( x − 2)
T = 1.50 + 0.50 (5 - 2)
T = 1.50 + 0.50 * 3
T = 1.50 + 1.50
T = $3.00

Correct Answer - B
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The toll T, in dollars, for a truck using a certain bridge is given by [#permalink]

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Hi GMATters,

Here's a video explanation I created for this problem:



Enjoy!

Rowan
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Re: The toll T, in dollars, for a truck using a certain bridge is given by [#permalink]

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Hi all,

Kindly explain solution to this question once more as I couldn't understand how there are 5 axels
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The toll T, in dollars, for a truck using a certain bridge is given by [#permalink]

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Bunuel wrote
Quote:
The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?

(A) $ 2.50
(B) $ 3.00
(C) $ 3.50
(D) $ 4.00
(E) $ 5.00

Saumya2403 wrote:
Hi all,

Kindly explain solution to this question once more as I couldn't understand how there are 5 axels

Saumya2403 - There are four wheels total on each of the other axles, that is, there are two wheels on each side of the axles other than the front one. On the front axle, there is only one wheel on each side.

If it were sketched, where "0" is a wheel and "--" is an axle, and

front axle = two wheels
other axles = four wheels

0--0

00--00
00--00
00--00
00--00

There are five axles. Hope it helps.
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Re: The toll T, in dollars, for a truck using a certain bridge is given by [#permalink]

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Genexer123: Thanks for your explanation, yeah understood it now
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Re: The toll T, in dollars, for a truck using a certain bridge is given by [#permalink]

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New post 18 Aug 2017, 08:04
Bunuel wrote:
The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?

(A) $ 2.50
(B) $ 3.00
(C) $ 3.50
(D) $ 4.00
(E) $ 5.00


We need to determine the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles.

Since there are 18 wheels and 2-wheels on the front axle and 4 wheels on the other, we have 1 axle for the front 2-wheels and 16/4 = 4 axles for the other wheels. Thus, the truck has a total of 5 axles and its toll is:

T = 1.5 + 0.5(5 - 2)

T = 1.5 + 1.5 = 3.00

Answer: B
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Re: The toll T, in dollars, for a truck using a certain bridge is given by   [#permalink] 18 Aug 2017, 08:04
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