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Two places are A and B are 200 kms from each other. A train leaves from A for B at the same time another train leaves B for A. The two trains meet at the end of 8 hours. If the train travelling from A to B travels 8km/hr faster than the other. Find the speed of the faster train?
- a)15 km/hr
- b)17.5 km/hr
- c)16.5 km/hr
- d)18 km/hr
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two places are A and B are 200 kms from each other. A train leaves fro...
Speed of trains = s + 8 and s km/hr.
At some P distance from A both train will meet. So,
8 = P/(s +8) ; 8 = (200 – P)/s
Solve both equation, we get s = 8.5 so faster train speed 16.5 km/hr
SHORTCUT:
200/8 = 25
A+B = 25
A- B = 8 (given)
A= 16.5 km/hr
At some P distance from A both train will meet. So,
8 = P/(s +8) ; 8 = (200 – P)/s
Solve both equation, we get s = 8.5 so faster train speed 16.5 km/hr
SHORTCUT:
200/8 = 25
A+B = 25
A- B = 8 (given)
A= 16.5 km/hr
Most Upvoted Answer
Two places are A and B are 200 kms from each other. A train leaves fro...
Given:
- Distance between places A and B = 200 km
- Time taken for the two trains to meet = 8 hours
- The train traveling from A to B is 8 km/hr faster than the other train
To find:
- Speed of the faster train
Approach:
Let's assume the speed of the slower train as 'x' km/hr.
Therefore, the speed of the faster train will be 'x + 8' km/hr.
We can use the formula:
Distance = Speed * Time
Calculation:
Train traveling from A to B:
- Speed = 'x + 8' km/hr
- Time = 8 hours
- Distance covered by this train = Speed * Time = (x + 8) * 8 km
Train traveling from B to A:
- Speed = 'x' km/hr
- Time = 8 hours
- Distance covered by this train = Speed * Time = x * 8 km
As the two trains meet, the sum of the distances covered by both trains will be equal to the total distance between A and B.
Therefore, we have the equation:
(x + 8) * 8 + x * 8 = 200
Simplifying the equation:
8x + 64 + 8x = 200
16x + 64 = 200
16x = 200 - 64
16x = 136
x = 136 / 16
x = 8.5
Therefore, the speed of the slower train (x) is 8.5 km/hr.
And the speed of the faster train (x + 8) is 8.5 + 8 = 16.5 km/hr.
Hence, the correct answer is option C) 16.5 km/hr.
- Distance between places A and B = 200 km
- Time taken for the two trains to meet = 8 hours
- The train traveling from A to B is 8 km/hr faster than the other train
To find:
- Speed of the faster train
Approach:
Let's assume the speed of the slower train as 'x' km/hr.
Therefore, the speed of the faster train will be 'x + 8' km/hr.
We can use the formula:
Distance = Speed * Time
Calculation:
Train traveling from A to B:
- Speed = 'x + 8' km/hr
- Time = 8 hours
- Distance covered by this train = Speed * Time = (x + 8) * 8 km
Train traveling from B to A:
- Speed = 'x' km/hr
- Time = 8 hours
- Distance covered by this train = Speed * Time = x * 8 km
As the two trains meet, the sum of the distances covered by both trains will be equal to the total distance between A and B.
Therefore, we have the equation:
(x + 8) * 8 + x * 8 = 200
Simplifying the equation:
8x + 64 + 8x = 200
16x + 64 = 200
16x = 200 - 64
16x = 136
x = 136 / 16
x = 8.5
Therefore, the speed of the slower train (x) is 8.5 km/hr.
And the speed of the faster train (x + 8) is 8.5 + 8 = 16.5 km/hr.
Hence, the correct answer is option C) 16.5 km/hr.
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Two places are A and B are 200 kms from each other. A train leaves from A for B at the same time another train leaves B for A. The two trains meet at the end of 8 hours. If the train travelling from A to B travels 8km/hr faster than the other. Find the speed of the faster train?a)15 km/hrb)17.5 km/hrc)16.5 km/hrd)18 km/hre)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Two places are A and B are 200 kms from each other. A train leaves from A for B at the same time another train leaves B for A. The two trains meet at the end of 8 hours. If the train travelling from A to B travels 8km/hr faster than the other. Find the speed of the faster train?a)15 km/hrb)17.5 km/hrc)16.5 km/hrd)18 km/hre)None of theseCorrect 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 are A and B are 200 kms from each other. A train leaves from A for B at the same time another train leaves B for A. The two trains meet at the end of 8 hours. If the train travelling from A to B travels 8km/hr faster than the other. Find the speed of the faster train?a)15 km/hrb)17.5 km/hrc)16.5 km/hrd)18 km/hre)None of theseCorrect 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 are A and B are 200 kms from each other. A train leaves from A for B at the same time another train leaves B for A. The two trains meet at the end of 8 hours. If the train travelling from A to B travels 8km/hr faster than the other. Find the speed of the faster train?a)15 km/hrb)17.5 km/hrc)16.5 km/hrd)18 km/hre)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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Solutions for Two places are A and B are 200 kms from each other. A train leaves from A for B at the same time another train leaves B for A. The two trains meet at the end of 8 hours. If the train travelling from A to B travels 8km/hr faster than the other. Find the speed of the faster train?a)15 km/hrb)17.5 km/hrc)16.5 km/hrd)18 km/hre)None of theseCorrect 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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