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Half an hour after Car A started traveling from Newtown to Oldtown, a distance of 62 miles, Car B started traveling along the same road from Oldtown to Newtown. The cars met each other on the road 15 minutes after Car B started it's trip. If Car A traveled at a constant rate that was 8 miles per hour greater than Car B's constant rate, how many miles had Car B driven when they met?
- a)14 miles
- b)12 miles
- c)10 miles
- d)9 miles
- e)8 miles
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Half an hour after Car A started traveling from Newtown to Oldtown, a ...
Given Information:
- Car A started traveling from Newtown to Oldtown, a distance of 62 miles.
- Car B started traveling from Oldtown to Newtown.
- Car B started its trip 15 minutes after Car A started.
- Car A traveled at a constant rate that was 8 miles per hour greater than Car B's constant rate.
Objective:
To determine how many miles Car B had driven when the cars met.
Assumptions:
- Both cars traveled at a constant speed throughout their journeys.
- The distance between Newtown and Oldtown is the same as the distance between Oldtown and Newtown.
Approach:
Let's assume the constant rate of Car B as 'x' miles per hour. Then, the constant rate of Car A would be 'x + 8' miles per hour.
We need to find the distance traveled by Car B when the cars met. Let's denote this distance as 'd' miles.
Calculations:
- Car A travels for 30 minutes (0.5 hours) before the cars meet.
- Car B travels for 15 minutes (0.25 hours) before the cars meet.
Distance traveled by Car A:
- Distance = Speed × Time
- Distance = (x + 8) × 0.5
- Distance = 0.5x + 4
Distance traveled by Car B:
- Distance = Speed × Time
- Distance = x × 0.25
- Distance = 0.25x
Total distance traveled by both cars:
- Car A + Car B = 62 miles
- (0.5x + 4) + 0.25x = 62
- 0.75x + 4 = 62
- 0.75x = 58
- x = 58/0.75
- x ≈ 77.33
Distance traveled by Car B:
- Distance = 0.25x
- Distance ≈ 0.25 × 77.33
- Distance ≈ 19.33 miles
Final Answer:
Car B had driven approximately 19.33 miles when they met.
However, none of the given answer options match this value. Therefore, the question might have been misinterpreted or there might be an error in the provided answer choices.
- Car A started traveling from Newtown to Oldtown, a distance of 62 miles.
- Car B started traveling from Oldtown to Newtown.
- Car B started its trip 15 minutes after Car A started.
- Car A traveled at a constant rate that was 8 miles per hour greater than Car B's constant rate.
Objective:
To determine how many miles Car B had driven when the cars met.
Assumptions:
- Both cars traveled at a constant speed throughout their journeys.
- The distance between Newtown and Oldtown is the same as the distance between Oldtown and Newtown.
Approach:
Let's assume the constant rate of Car B as 'x' miles per hour. Then, the constant rate of Car A would be 'x + 8' miles per hour.
We need to find the distance traveled by Car B when the cars met. Let's denote this distance as 'd' miles.
Calculations:
- Car A travels for 30 minutes (0.5 hours) before the cars meet.
- Car B travels for 15 minutes (0.25 hours) before the cars meet.
Distance traveled by Car A:
- Distance = Speed × Time
- Distance = (x + 8) × 0.5
- Distance = 0.5x + 4
Distance traveled by Car B:
- Distance = Speed × Time
- Distance = x × 0.25
- Distance = 0.25x
Total distance traveled by both cars:
- Car A + Car B = 62 miles
- (0.5x + 4) + 0.25x = 62
- 0.75x + 4 = 62
- 0.75x = 58
- x = 58/0.75
- x ≈ 77.33
Distance traveled by Car B:
- Distance = 0.25x
- Distance ≈ 0.25 × 77.33
- Distance ≈ 19.33 miles
Final Answer:
Car B had driven approximately 19.33 miles when they met.
However, none of the given answer options match this value. Therefore, the question might have been misinterpreted or there might be an error in the provided answer choices.
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Community Answer
Half an hour after Car A started traveling from Newtown to Oldtown, a ...
The speed of Car B is B mph; thus, the speed of Car A = (B + 8) mph
In 1/2 hour, Car A would travel 1/2*(B + 8) = (B + 8)/2 miles
Thus, both cars together have to cover a distance of [62 - (B + 8)/2] miles
Since Car A and Car B are traveling in opposite directions, their relative speed would be the addition of their speeds.
Relative speed = A + B = (B + 8) + B = (2B + 8) mph
Time to meet = Distance covered / Rel speed = [62 - (B + 8)/2] / (2B + 8) hour
⇒ [62 - (B + 8)/2] / (2B + 8) = 15 minutes = 15/60 hours
⇒ B = 56 mph
Thus, Car B would meet Car A after traveling 56 mph * 15 min = 56*15/60 = 14 miles
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Half an hour after Car A started traveling from Newtown to Oldtown, a distance of 62 miles, Car B started traveling along the same road from Oldtown to Newtown. The cars met each other on the road 15 minutes after Car B started its trip. If Car A traveled at a constant rate that was 8 miles per hour greater than Car Bs constant rate, how many miles had Car B driven when they met?a)14 milesb)12 milesc)10 milesd)9 milese)8 milesCorrect answer is option 'A'. Can you explain this answer?
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Half an hour after Car A started traveling from Newtown to Oldtown, a distance of 62 miles, Car B started traveling along the same road from Oldtown to Newtown. The cars met each other on the road 15 minutes after Car B started its trip. If Car A traveled at a constant rate that was 8 miles per hour greater than Car Bs constant rate, how many miles had Car B driven when they met?a)14 milesb)12 milesc)10 milesd)9 milese)8 milesCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Half an hour after Car A started traveling from Newtown to Oldtown, a distance of 62 miles, Car B started traveling along the same road from Oldtown to Newtown. The cars met each other on the road 15 minutes after Car B started its trip. If Car A traveled at a constant rate that was 8 miles per hour greater than Car Bs constant rate, how many miles had Car B driven when they met?a)14 milesb)12 milesc)10 milesd)9 milese)8 milesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Half an hour after Car A started traveling from Newtown to Oldtown, a distance of 62 miles, Car B started traveling along the same road from Oldtown to Newtown. The cars met each other on the road 15 minutes after Car B started its trip. If Car A traveled at a constant rate that was 8 miles per hour greater than Car Bs constant rate, how many miles had Car B driven when they met?a)14 milesb)12 milesc)10 milesd)9 milese)8 milesCorrect answer is option 'A'. Can you explain this answer?.
Half an hour after Car A started traveling from Newtown to Oldtown, a distance of 62 miles, Car B started traveling along the same road from Oldtown to Newtown. The cars met each other on the road 15 minutes after Car B started its trip. If Car A traveled at a constant rate that was 8 miles per hour greater than Car Bs constant rate, how many miles had Car B driven when they met?a)14 milesb)12 milesc)10 milesd)9 milese)8 milesCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Half an hour after Car A started traveling from Newtown to Oldtown, a distance of 62 miles, Car B started traveling along the same road from Oldtown to Newtown. The cars met each other on the road 15 minutes after Car B started its trip. If Car A traveled at a constant rate that was 8 miles per hour greater than Car Bs constant rate, how many miles had Car B driven when they met?a)14 milesb)12 milesc)10 milesd)9 milese)8 milesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Half an hour after Car A started traveling from Newtown to Oldtown, a distance of 62 miles, Car B started traveling along the same road from Oldtown to Newtown. The cars met each other on the road 15 minutes after Car B started its trip. If Car A traveled at a constant rate that was 8 miles per hour greater than Car Bs constant rate, how many miles had Car B driven when they met?a)14 milesb)12 milesc)10 milesd)9 milese)8 milesCorrect answer is option 'A'. Can you explain this answer?.
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ample number of questions to practice Half an hour after Car A started traveling from Newtown to Oldtown, a distance of 62 miles, Car B started traveling along the same road from Oldtown to Newtown. The cars met each other on the road 15 minutes after Car B started its trip. If Car A traveled at a constant rate that was 8 miles per hour greater than Car Bs constant rate, how many miles had Car B driven when they met?a)14 milesb)12 milesc)10 milesd)9 milese)8 milesCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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