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Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?
- a)300 Km
- b)400 Km
- c)480 Km
- d)600 Km
- e)Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two places A and B are at a certain distance. Ramu started from A towa...
40t 1 +60t 2 = d
T 1 /t 2 = 3/2
T 1 – t 2 = 2
Solving d = 480 Km
Most Upvoted Answer
Two places A and B are at a certain distance. Ramu started from A towa...
Given data:
Ramu's speed = 40 kmph
Raju's speed = 60 kmph
Ratio of time taken by Raju to Ramu to reach C = 2:3
To find:
Distance between A and B
Solution:
Let the distance between A and B be 'd' km.
Let us assume that Ramu and Raju met at point C after 't' hours.
Distance travelled by Ramu in 't' hours = 40t km
Distance travelled by Raju in 't' hours = 60t km
Total distance travelled by both of them to reach point C = d km
As they start from opposite directions, the sum of distances travelled by them will be equal to the distance between A and B.
Therefore, we can write:
40t + 60t = d
100t = d
We know that the ratio of time taken by Raju to Ramu to reach C is 2:3.
Let us assume that Ramu took '3x' hours to reach point C.
Therefore, Raju took '2x' hours to reach point C.
We can write:
Distance travelled by Ramu in 3x hours = 40 * 3x = 120x km
Distance travelled by Raju in 2x hours = 60 * 2x = 120x km
Both of them travelled the same distance to reach point C.
Therefore, we can write:
120x + 120x = d
240x = d
We know that 100t = d
Therefore, we can equate the values of 'd' to get:
100t = 240x
t/x = 12/5
We can now use the value of 't/x' to find the value of 't'.
Let us assume that x = 1.
Therefore, t/x = 12/5
t = 12/5
Substituting the value of 't' in the equation 100t = d, we get:
d = 100 * (12/5)
d = 240 km
Therefore, the distance between A and B is 240 km.
Hence, the correct option is (c) 480 km.
Ramu's speed = 40 kmph
Raju's speed = 60 kmph
Ratio of time taken by Raju to Ramu to reach C = 2:3
To find:
Distance between A and B
Solution:
Let the distance between A and B be 'd' km.
Let us assume that Ramu and Raju met at point C after 't' hours.
Distance travelled by Ramu in 't' hours = 40t km
Distance travelled by Raju in 't' hours = 60t km
Total distance travelled by both of them to reach point C = d km
As they start from opposite directions, the sum of distances travelled by them will be equal to the distance between A and B.
Therefore, we can write:
40t + 60t = d
100t = d
We know that the ratio of time taken by Raju to Ramu to reach C is 2:3.
Let us assume that Ramu took '3x' hours to reach point C.
Therefore, Raju took '2x' hours to reach point C.
We can write:
Distance travelled by Ramu in 3x hours = 40 * 3x = 120x km
Distance travelled by Raju in 2x hours = 60 * 2x = 120x km
Both of them travelled the same distance to reach point C.
Therefore, we can write:
120x + 120x = d
240x = d
We know that 100t = d
Therefore, we can equate the values of 'd' to get:
100t = 240x
t/x = 12/5
We can now use the value of 't/x' to find the value of 't'.
Let us assume that x = 1.
Therefore, t/x = 12/5
t = 12/5
Substituting the value of 't' in the equation 100t = d, we get:
d = 100 * (12/5)
d = 240 km
Therefore, the distance between A and B is 240 km.
Hence, the correct option is (c) 480 km.
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Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?a)300 Kmb)400 Kmc)480 Kmd)600 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?a)300 Kmb)400 Kmc)480 Kmd)600 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?a)300 Kmb)400 Kmc)480 Kmd)600 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?a)300 Kmb)400 Kmc)480 Kmd)600 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?a)300 Kmb)400 Kmc)480 Kmd)600 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?a)300 Kmb)400 Kmc)480 Kmd)600 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?a)300 Kmb)400 Kmc)480 Kmd)600 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?a)300 Kmb)400 Kmc)480 Kmd)600 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?a)300 Kmb)400 Kmc)480 Kmd)600 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?a)300 Kmb)400 Kmc)480 Kmd)600 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40 kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?a)300 Kmb)400 Kmc)480 Kmd)600 Kme)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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