During A Certain Time Period, Car X Traveled North Along A Straight Road GMAT Problem Solving

Question: During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?

1. 36
2. 37.5
3. 40
4. 80
5. 90

Answer:
Solution and Explanation:
Approach Solution 1:
You must use the data provided in the question to resolve this GMAT problem-solving issue. These issues span a wide range of mathematical disciplines. This one involves measurements and units a lot. It's challenging to choose the best option because of how the options are presented. The candidates must understand the proper procedure to obtain the necessary response. Out of the five options provided, only one is accurate.
Since the car moves at a constant speed of one mile per minute, we can set up the following equation by setting r = the speed of the car in miles per hour:
1/1 = x/60
x = 60 mph
We can let x be the number of hours driven when the car uses 3.75 gallons of fuel and get the following proportion by letting the car use 5 gallons of fuel every 2 hours.
5/2 = 3.75/x
5x = 7.5
x=1.5 hours.
Given that the car is travelling at 60 mph and has been on the road for 1.5 hours, the distance travelled is 60 x 1.5, or 90 miles.

Approach Solution 2:
You must use the data provided in the question to resolve this GMAT problem-solving issue. These issues span a wide range of mathematical disciplines. This one involves measurements and units a lot. It's challenging to choose the best option because of how the options are presented. The candidates must understand the proper procedure to obtain the necessary response. Out of the five options provided, only one is accurate.
Given in the question
1 Mile/Minute Speed
Fuel Consumption Rate = 5 Gallons in Two Hours = 5 Gallons in 120 minutes
3.75 gallons of fuel were used overall by automobile X.
let x be the time, the car will take based on the amount of fuel it has used.
X = (3.75∗120) / 5
x = 90 min.
Speed=Distance/Time
Distance=Speed∗Time
Distance = 1∗90 = 90Miles
E is the correct answer.

Approach Solution 3:
You must use the data provided in the question to resolve this GMAT problem-solving issue. These issues span a wide range of mathematical disciplines. This one involves measurements and units a lot. It's challenging to choose the best option because of how the options are presented. The candidates must understand the proper procedure to obtain the necessary response.
We can let x equal the number of minutes during which the automobile uses 3.75 gallons of petrol and get the following ratio by assuming that the car needs
Every 120 minutes it takes 5 gallons of fuel
5/120 = 3.75/x
5x = 120(3.75)
x = 90
As a result, the vehicle is driven for 90 minutes. It will have traveled 90 miles since it moves at a speed of one mile per minute.
E is the correct answer.

“During a certain time period, Car X traveled north along a straight ro" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.
To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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