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Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?
- a)one hours and 30 minutes.
- b)two hours.
- c)two hours and 12 minutes.
- d)three hours and 15 minutes.
- e)three hours and 18 minutes.
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two cars are traveling on the same road towards each other. If car A i...
The best answer is C.
Car B is traveling at a speed of 0.85 x 120 = 102 Km/h.
Car A travels alone a distance of 120 x 1.5 = 180 Km. The remaining distance should be divided among the sum of the cars speeds: (668.4 – 180 = 488.4 Km) / (102 + 120) = 2.2 = Two hours and 12 minutes
Car A travels alone a distance of 120 x 1.5 = 180 Km. The remaining distance should be divided among the sum of the cars speeds: (668.4 – 180 = 488.4 Km) / (102 + 120) = 2.2 = Two hours and 12 minutes
Most Upvoted Answer
Two cars are traveling on the same road towards each other. If car A i...
Problem Analysis:
We are given that car A is traveling at a speed of 120 km/h and car B is traveling 15% slower. The initial distance between the two cars is 668.4 km and car A started to drive one hour and a half before car B. We need to find out how much time it will take for the cars to meet.
Solution:
To solve this problem, we can follow the following steps:
Step 1: Calculate the speed of car B
Since car B is traveling 15% slower than car A, the speed of car B will be:
Speed of car B = Speed of car A - 15% of Speed of car A
Speed of car B = 120 - (15/100) * 120
Speed of car B = 120 - 18
Speed of car B = 102 km/h
Step 2: Calculate the time taken by car A to reach the meeting point
Since car A started driving one hour and a half before car B, the time taken by car A to reach the meeting point will be the same as the time taken by car B to reach the meeting point plus one and a half hours.
Let's assume that the time taken by both cars to reach the meeting point is 't' hours.
Time taken by car A = t + 1.5 hours
Step 3: Calculate the distance covered by car A and car B
Distance covered by car A = Speed of car A * Time taken by car A
Distance covered by car A = 120 * (t + 1.5)
Distance covered by car A = 120t + 180
Distance covered by car B = Speed of car B * Time taken by car B
Distance covered by car B = 102 * t
Distance covered by car B = 102t
Step 4: Set up the equation using the distances covered by car A and car B
Since the total distance between the two cars is 668.4 km, we can set up the equation as follows:
Distance covered by car A + Distance covered by car B = Total distance
120t + 180 + 102t = 668.4
222t + 180 = 668.4
222t = 668.4 - 180
222t = 488.4
Step 5: Solve for 't'
Divide both sides of the equation by 222:
t = 488.4 / 222
t ≈ 2.2 hours
Step 6: Convert the time to hours and minutes
Since the time is given in hours, we can convert it into hours and minutes:
2.2 hours ≈ 2 hours and 12 minutes
Therefore, it will take approximately 2 hours and 12 minutes for the cars to meet. Hence, the correct answer is option C.
We are given that car A is traveling at a speed of 120 km/h and car B is traveling 15% slower. The initial distance between the two cars is 668.4 km and car A started to drive one hour and a half before car B. We need to find out how much time it will take for the cars to meet.
Solution:
To solve this problem, we can follow the following steps:
Step 1: Calculate the speed of car B
Since car B is traveling 15% slower than car A, the speed of car B will be:
Speed of car B = Speed of car A - 15% of Speed of car A
Speed of car B = 120 - (15/100) * 120
Speed of car B = 120 - 18
Speed of car B = 102 km/h
Step 2: Calculate the time taken by car A to reach the meeting point
Since car A started driving one hour and a half before car B, the time taken by car A to reach the meeting point will be the same as the time taken by car B to reach the meeting point plus one and a half hours.
Let's assume that the time taken by both cars to reach the meeting point is 't' hours.
Time taken by car A = t + 1.5 hours
Step 3: Calculate the distance covered by car A and car B
Distance covered by car A = Speed of car A * Time taken by car A
Distance covered by car A = 120 * (t + 1.5)
Distance covered by car A = 120t + 180
Distance covered by car B = Speed of car B * Time taken by car B
Distance covered by car B = 102 * t
Distance covered by car B = 102t
Step 4: Set up the equation using the distances covered by car A and car B
Since the total distance between the two cars is 668.4 km, we can set up the equation as follows:
Distance covered by car A + Distance covered by car B = Total distance
120t + 180 + 102t = 668.4
222t + 180 = 668.4
222t = 668.4 - 180
222t = 488.4
Step 5: Solve for 't'
Divide both sides of the equation by 222:
t = 488.4 / 222
t ≈ 2.2 hours
Step 6: Convert the time to hours and minutes
Since the time is given in hours, we can convert it into hours and minutes:
2.2 hours ≈ 2 hours and 12 minutes
Therefore, it will take approximately 2 hours and 12 minutes for the cars to meet. Hence, the correct answer is option C.
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Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?a)one hours and 30 minutes.b)two hours.c)two hours and 12 minutes.d)three hours and 15 minutes.e)three hours and 18 minutes.Correct answer is option 'C'. Can you explain this answer?
Question Description
Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?a)one hours and 30 minutes.b)two hours.c)two hours and 12 minutes.d)three hours and 15 minutes.e)three hours and 18 minutes.Correct answer is option 'C'. 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 Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?a)one hours and 30 minutes.b)two hours.c)two hours and 12 minutes.d)three hours and 15 minutes.e)three hours and 18 minutes.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?a)one hours and 30 minutes.b)two hours.c)two hours and 12 minutes.d)three hours and 15 minutes.e)three hours and 18 minutes.Correct answer is option 'C'. Can you explain this answer?.
Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?a)one hours and 30 minutes.b)two hours.c)two hours and 12 minutes.d)three hours and 15 minutes.e)three hours and 18 minutes.Correct answer is option 'C'. 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 Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?a)one hours and 30 minutes.b)two hours.c)two hours and 12 minutes.d)three hours and 15 minutes.e)three hours and 18 minutes.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?a)one hours and 30 minutes.b)two hours.c)two hours and 12 minutes.d)three hours and 15 minutes.e)three hours and 18 minutes.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?a)one hours and 30 minutes.b)two hours.c)two hours and 12 minutes.d)three hours and 15 minutes.e)three hours and 18 minutes.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?a)one hours and 30 minutes.b)two hours.c)two hours and 12 minutes.d)three hours and 15 minutes.e)three hours and 18 minutes.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?a)one hours and 30 minutes.b)two hours.c)two hours and 12 minutes.d)three hours and 15 minutes.e)three hours and 18 minutes.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Two cars are traveling on the same road towards each other. If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?a)one hours and 30 minutes.b)two hours.c)two hours and 12 minutes.d)three hours and 15 minutes.e)three hours and 18 minutes.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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