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

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Math Expert
Joined: 02 Sep 2009
Posts: 47157
The toll T, in dollars, for a truck using a certain bridge is given by  [#permalink]

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10 Jan 2016, 07:31
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Difficulty:

15% (low)

Question Stats:

80% (00:59) correct 20% (01:05) wrong based on 270 sessions

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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) $5.00 _________________ ##### Most Helpful Community Reply Verbal Forum Moderator Status: Greatness begins beyond your comfort zone Joined: 08 Dec 2013 Posts: 2090 Location: India Concentration: General Management, Strategy Schools: Kelley '20, ISB '19 GPA: 3.2 WE: Information Technology (Consulting) Re: The toll T, in dollars, for a truck using a certain bridge is given by [#permalink] ### Show Tags 10 Jan 2016, 07:38 5 Number of wheels in truck = 18 Number of wheels on its front axle =2 number of wheels remaining = 16 number of axles remaining axles = 16/4 = 4 Total number of axles = 5 T = 1.50 + 0.50( x − 2) = 1.50 + .5*3 = 1.5 +1.5 = 3$
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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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24 Jun 2016, 04:15
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 = $3.00 Correct Answer - B Intern Status: London UK GMAT Consultant / Tutor Joined: 30 Oct 2012 Posts: 49 The toll T, in dollars, for a truck using a certain bridge is given by [#permalink] ### Show Tags 17 May 2017, 07:26 2 Hi GMATters, Here's a video explanation I created for this problem: Enjoy! Rowan _________________ Is Your GMAT Score Stuck in the 600s? This FREE 8-Video, 20-Page Guide Can Help. http://yourgmatcoach.com/gmat-score-stuck-plateau-600/ PS have you seen the new GMAT Work and Rates guide? Comes with a free 8-video course. https://yourgmatcoach.podia.com/courses/how-to-beat-gmat-work-and-rates-problems Intern Joined: 21 Sep 2016 Posts: 43 Re: The toll T, in dollars, for a truck using a certain bridge is given by [#permalink] ### Show Tags 11 Aug 2017, 22:50 Hi all, Kindly explain solution to this question once more as I couldn't understand how there are 5 axels SC Moderator Joined: 22 May 2016 Posts: 1832 The toll T, in dollars, for a truck using a certain bridge is given by [#permalink] ### Show Tags 12 Aug 2017, 04:49 2 1 1 Bunuel wrote Quote: The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles? (A)$ 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 -
On the front axle (rod/pole), there is only one wheel on each side, and hence a total of two wheels on that axle.

On the other four axles, there are two wheels on each side, for a total of four wheels each those four axles.

If the setup is sketched such that "0" is a wheel and "--" is an axle:

front axle:
• one wheel on each axle SIDE
• two wheels total on the axle rod (pole)

other axles:
• two wheels on each axle SIDE
• four wheels total on the axle rod (pole)

SKETCH:

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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14 Aug 2017, 07:34
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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18 Aug 2017, 09:04
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

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Re: The toll T, in dollars, for a truck using a certain bridge is given by &nbs [#permalink] 18 Aug 2017, 09:04
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