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Official Guide problem

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Official Guide problem

by Joy Shaha » Fri May 20, 2016 1:20 am
Q. Source: GMAT Official (2016)
Q. The toll T , in dollars fir a truck using a certain bridges is given by the formulate T=1.50+.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 the front axle & 4 wheels on each of its other axles ?
A. $ 2.50;
B.$ 3.00
C.$3.50;
D.$4.00
E.$ 5.00
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by regor60 » Fri May 20, 2016 6:54 am
What is your question ?
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by [email protected] » Fri May 20, 2016 9:37 am
Hi Joy Shaha,

This prompt gives us a formula that is based on the number of truck AXLES. Once we know the number of axles, we can figure out the total price of the toll.

We're told that that a truck has 18 wheels --> 2 wheels on the front axle and 4 wheels on each of the other axles. With that information, we know that there are 5 total axles:

1st axle = 2 wheels
2nd axle = 4 wheels
3rd axle = 4 wheels
4th axle = 4 wheels
5th axle = 4 wheels
Total = 18 wheels

Since the truck has 5 axles, we can plug in X=5 into the given equation...

T = 1.50 + (.50)(5-2) = 1.50 + (.50)(3) = $3.00

Final Answer: B

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by 800_or_bust » Fri May 20, 2016 10:07 am
Joy Shaha wrote:Q. Source: GMAT Official (2016)
Q. The toll T , in dollars fir a truck using a certain bridges is given by the formulate T=1.50+.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 the front axle & 4 wheels on each of its other axles ?
A. $ 2.50;
B.$ 3.00
C.$3.50;
D.$4.00
E.$ 5.00
You need to compute the number of axles from the information pertaining to the number of wheels. There are 18 wheels in total, 2 on the front axle and 4 on each of the remaining axles. This means there are a total of 5 axles. Axles = 1 + 16/4 = 5. Plug this into the equation for x, and solve for T.
800 or bust!
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by jain2016 » Fri May 20, 2016 10:35 am
Hi ,

Is there any other approach for this question.

Thanks

SJ
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by ygcrowanhand » Wed May 17, 2017 6:29 am
Hi GMATters,

Here's a video explanation I created for this problem: https://www.youtube.com/watch?v=wvd8qfZ_CBQ

Enjoy!

Rowan
705+ GMAT Arithmetic Shortcuts FREE 8-Video Course:

https://stan.store/yourgmatcoach

GMAT Office Hours: https://rowanhand.podia.com/gmat-office-hours

Learn more about Private GMAT Tutoring at: https://privategmattutor.london
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Re: Official Guide problem

by Scott@TargetTestPrep » Mon Apr 13, 2020 3:49 am
Joy Shaha wrote: ↑
Fri May 20, 2016 1:20 am
 Q. Source: GMAT Official (2016)
Q. The toll T , in dollars fir a truck using a certain bridges is given by the formulate T=1.50+.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 the front axle & 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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