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

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10 Jan 2016, 06:31
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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) $5.00 [Reveal] Spoiler: OA _________________ Verbal Forum Moderator Status: Greatness begins beyond your comfort zone Joined: 08 Dec 2013 Posts: 1911 Location: India Concentration: General Management, Strategy Schools: Kelley '20, ISB '19 GPA: 3.2 WE: Information Technology (Consulting) Re: The toll T, in dollars, for a truck using a certain bridge is given by [#permalink] ### Show Tags 10 Jan 2016, 06:38 4 This post received KUDOS Number of wheels in truck = 18 Number of wheels on its front axle =2 number of wheels remaining = 16 number of axles remaining axles = 16/4 = 4 Total number of axles = 5 T = 1.50 + 0.50( x − 2) = 1.50 + .5*3 = 1.5 +1.5 = 3$
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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, 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 = $3.00 Correct Answer - B Intern Status: London UK GMAT Consultant / Tutor Joined: 30 Oct 2012 Posts: 48 The toll T, in dollars, for a truck using a certain bridge is given by [#permalink] ### Show Tags 17 May 2017, 06:26 2 This post received KUDOS Hi GMATters, Here's a video explanation I created for this problem: Enjoy! Rowan _________________ Learn the Top 3 GMAT Arithmetic Techniques with this free PDF guide! http://yourgmatcoach.com/ditch-the-arithmetic/ PS have you seen the new GMAT Work and Rates guide? Comes with a free 8-video course. https://yourgmatcoach.podia.com/courses/how-to-beat-gmat-work-and-rates-problems Intern Joined: 21 Sep 2016 Posts: 41 Re: The toll T, in dollars, for a truck using a certain bridge is given by [#permalink] ### Show Tags 11 Aug 2017, 21:50 1 This post received KUDOS Hi all, Kindly explain solution to this question once more as I couldn't understand how there are 5 axels VP Joined: 22 May 2016 Posts: 1333 The toll T, in dollars, for a truck using a certain bridge is given by [#permalink] ### Show Tags 12 Aug 2017, 03:49 2 This post received KUDOS 1 This post was BOOKMARKED Bunuel wrote Quote: The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles? (A)$ 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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Formerly genxer123

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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, 06:34
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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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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

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

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