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Two trains are travelling towards each other. The distance between the trains initially is 400km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.
- a)2:5
- b)3:5
- c)4:7
- d)7:3
- e)3:7
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two trains are travelling towards each other. The distance between the...
At some tine T they meet each other so,
150/a = 250/b (a and b are the speeds of the train respectively)
So, a:b = 3:5
150/a = 250/b (a and b are the speeds of the train respectively)
So, a:b = 3:5
Most Upvoted Answer
Two trains are travelling towards each other. The distance between the...
Problem:
Two trains are travelling towards each other. The distance between the trains initially is 400km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.
Solution:
Let's assume the speeds of the two trains as x km/hr and y km/hr respectively.
Distance Travelled:
The distance travelled by the first train is 150 km as it meets the other train at a distance of 150 km from one end.
The distance travelled by the second train is the remaining distance between the two trains, which is 400 km minus the distance travelled by the first train. Therefore, the distance travelled by the second train is (400 - 150) km = 250 km.
Time Taken:
The time taken by both the trains to meet each other is the same since they start simultaneously and meet at the same point.
Time = Distance / Speed
For the first train, time = 150 / x
For the second train, time = 250 / y
Since both the trains take the same amount of time to meet, we can equate the two equations:
150 / x = 250 / y
Rearranging the Equation:
To simplify the equation, we can cross multiply:
150 * y = 250 * x
Now, we can divide both sides of the equation by 150:
y = (250 * x) / 150
Ratio of Speeds:
The ratio of the speeds of the two trains is given by the equation y / x:
y / x = [(250 * x) / 150] / x
Simplifying the equation, we get:
y / x = 250 / 150
Further simplifying, we divide both sides of the equation by 50:
y / x = 5 / 3
Therefore, the ratio of the speed of the trains is 5:3.
Hence, option B is the correct answer.
Two trains are travelling towards each other. The distance between the trains initially is 400km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.
Solution:
Let's assume the speeds of the two trains as x km/hr and y km/hr respectively.
Distance Travelled:
The distance travelled by the first train is 150 km as it meets the other train at a distance of 150 km from one end.
The distance travelled by the second train is the remaining distance between the two trains, which is 400 km minus the distance travelled by the first train. Therefore, the distance travelled by the second train is (400 - 150) km = 250 km.
Time Taken:
The time taken by both the trains to meet each other is the same since they start simultaneously and meet at the same point.
Time = Distance / Speed
For the first train, time = 150 / x
For the second train, time = 250 / y
Since both the trains take the same amount of time to meet, we can equate the two equations:
150 / x = 250 / y
Rearranging the Equation:
To simplify the equation, we can cross multiply:
150 * y = 250 * x
Now, we can divide both sides of the equation by 150:
y = (250 * x) / 150
Ratio of Speeds:
The ratio of the speeds of the two trains is given by the equation y / x:
y / x = [(250 * x) / 150] / x
Simplifying the equation, we get:
y / x = 250 / 150
Further simplifying, we divide both sides of the equation by 50:
y / x = 5 / 3
Therefore, the ratio of the speed of the trains is 5:3.
Hence, option B is the correct answer.
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Two trains are travelling towards each other. The distance between the trains initially is 400km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.a)2:5b)3:5c)4:7d)7:3e)3:7Correct answer is option 'B'. Can you explain this answer?
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Two trains are travelling towards each other. The distance between the trains initially is 400km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.a)2:5b)3:5c)4:7d)7:3e)3:7Correct answer is option 'B'. 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 trains are travelling towards each other. The distance between the trains initially is 400km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.a)2:5b)3:5c)4:7d)7:3e)3:7Correct answer is option 'B'. 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 trains are travelling towards each other. The distance between the trains initially is 400km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.a)2:5b)3:5c)4:7d)7:3e)3:7Correct answer is option 'B'. Can you explain this answer?.
Two trains are travelling towards each other. The distance between the trains initially is 400km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.a)2:5b)3:5c)4:7d)7:3e)3:7Correct answer is option 'B'. 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 trains are travelling towards each other. The distance between the trains initially is 400km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.a)2:5b)3:5c)4:7d)7:3e)3:7Correct answer is option 'B'. 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 trains are travelling towards each other. The distance between the trains initially is 400km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.a)2:5b)3:5c)4:7d)7:3e)3:7Correct answer is option 'B'. Can you explain this answer?.
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