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

Question

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

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

generis · Accepted Answer

Bunuel  wrote

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.

Skywalker18 · Answer

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

rhine29388 · Answer

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

PGTLrowanhand · Answer

Hi GMATters,

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

https://www.youtube.com/watch?v=wvd8qfZ_CBQ

Enjoy!

Rowan

Saumya2403 · Answer

Hi all,

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

Saumya2403 · Answer

Genexer123: Thanks for your explanation, yeah understood it now

JeffTargetTestPrep · Answer

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

Archit3110 · Answer

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

CEdward · Answer

The key detail in this question which I totally missed is it's an 18-wheeler. Follow the details towards 5 axles...

bumpbot · Answer

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

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