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If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?
- a)360
- b)180
- c)120
- d)60
- e)90
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If Dave drove one-third of the distance of his trip on the first day, ...
We can model this situation by the equation 1/3x + 60 = 1/2x . Solving for x, we get x=360 , which is answer A.
a. Correct
b. This is the number of miles he drove before he figured out how much of his trip was left.
c. This amount is how much he drove the first day.
d. This is how much he drove the second day.
e. This amount is half of the distance he covered by the end of the second day.
a. Correct
b. This is the number of miles he drove before he figured out how much of his trip was left.
c. This amount is how much he drove the first day.
d. This is how much he drove the second day.
e. This amount is half of the distance he covered by the end of the second day.
Most Upvoted Answer
If Dave drove one-third of the distance of his trip on the first day, ...
To solve this problem, we can use algebra to find the total length of Dave's trip.
Let's assume the total length of Dave's trip is represented by the variable "x".
First day: Dave drove one-third of the distance. This means he drove (1/3)x miles on the first day.
Second day: Dave drove 60 miles.
Remaining distance: Dave figured out that he still had 1/2 of the trip to drive. This means the remaining distance he needs to drive is (1/2)x miles.
Now, we can set up an equation to solve for x:
(1/3)x + 60 = (1/2)x
To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of 3 and 2, which is 6:
6 * [(1/3)x + 60] = 6 * [(1/2)x]
2x + 360 = 3x
Next, we can simplify the equation by subtracting 2x from both sides:
360 = x
Therefore, the total length of Dave's trip is 360 miles.
Hence, the correct answer is option A) 360.
Let's assume the total length of Dave's trip is represented by the variable "x".
First day: Dave drove one-third of the distance. This means he drove (1/3)x miles on the first day.
Second day: Dave drove 60 miles.
Remaining distance: Dave figured out that he still had 1/2 of the trip to drive. This means the remaining distance he needs to drive is (1/2)x miles.
Now, we can set up an equation to solve for x:
(1/3)x + 60 = (1/2)x
To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of 3 and 2, which is 6:
6 * [(1/3)x + 60] = 6 * [(1/2)x]
2x + 360 = 3x
Next, we can simplify the equation by subtracting 2x from both sides:
360 = x
Therefore, the total length of Dave's trip is 360 miles.
Hence, the correct answer is option A) 360.
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If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?a)360b)180c)120d)60e)90Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?a)360b)180c)120d)60e)90Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?a)360b)180c)120d)60e)90Correct answer is option 'A'. Can you explain this answer?.
If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?a)360b)180c)120d)60e)90Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?a)360b)180c)120d)60e)90Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?a)360b)180c)120d)60e)90Correct answer is option 'A'. Can you explain this answer?.
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