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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: 62498
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) $5.00 _________________ Most Helpful Expert Reply Senior SC Moderator Joined: 22 May 2016 Posts: 3672 The toll T, in dollars, for a truck using a certain bridge is given by [#permalink] Show Tags 12 Aug 2017, 03:49 6 1 1 Bunuel wrote Quote: The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles? (A)$ 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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10 Jan 2016, 06:38
6
2
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 _________________ When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long General Discussion Senior Manager Joined: 24 Nov 2015 Posts: 472 Location: United States (LA) Re: The toll T, in dollars, for a truck using a certain bridge is given by [#permalink] Show Tags 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

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

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17 May 2017, 06:26
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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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11 Aug 2017, 21:50
Hi all,

Kindly explain solution to this question once more as I couldn't understand how there are 5 axels
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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
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
1
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) $5.00 We need to determine the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles. Since there are 18 wheels and 2-wheels on the front axle and 4 wheels on the other, we have 1 axle for the front 2-wheels and 16/4 = 4 axles for the other wheels. Thus, the truck has a total of 5 axles and its toll is: T = 1.5 + 0.5(5 - 2) T = 1.5 + 1.5 = 3.00 Answer: B _________________ Jeffrey Miller Head of GMAT Instruction Jeff@TargetTestPrep.com 197 Reviews 5-star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. GMAT Club Legend Joined: 18 Aug 2017 Posts: 6018 Location: India Concentration: Sustainability, Marketing GPA: 4 WE: Marketing (Energy and Utilities) Re: The toll T, in dollars, for a truck using a certain bridge is given by [#permalink] Show Tags 05 Apr 2020, 09:15 Bunuel wrote: The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 0.50( x − 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles? (A)$ 2.50
(B) $3.00 (C)$ 3.50
(D) $4.00 (E)$ 5.00

for front one axel we have 2 wheels
so for other 16 wheels we have 4 wheels per axle ie 4 axle
total axel = 4+1 ; 5=x
hence the toll T = 1.50 + 0.50( x − 2) ' 1.5+1.5= 3
option B ; \$3
Re: The toll T, in dollars, for a truck using a certain bridge is given by   [#permalink] 05 Apr 2020, 09:15
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