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A train crosses two persons, cycling in the same direction as the train in 12 and 18 seconds respectively.If the speeds of the two cyclists are 9 and 18 kmph respectively. Find the length and speed of the train.
Correct answer is '98'. Can you explain this answer?
Most Upvoted Answer
A train crosses two persons, cycling in the same direction as the trai...
Given:
- Speed of first cyclist = 9 kmph
- Speed of second cyclist = 18 kmph
- Time taken by first cyclist to cross = 12 seconds
- Time taken by second cyclist to cross = 18 seconds
To find:
- Length and speed of the train
Assumption:
- Length of the train remains constant during the crossing
Formula:
- Speed = Distance/Time
Approach:
1. Let's assume the length of the train is "L" km.
2. Since both cyclists are cycling in the same direction as the train, the relative speed of the train with respect to each cyclist will be the difference between their speeds.
3. Relative speed of the first cyclist = (Speed of first cyclist) - (Speed of train)
Relative speed of the second cyclist = (Speed of second cyclist) - (Speed of train)
4. As per the formula, Speed = Distance/Time, we can write the following equations:
- L/12 = Relative speed of the first cyclist
- L/18 = Relative speed of the second cyclist
5. Substitute the relative speeds and simplify the equations:
- L/12 = 9 - (Speed of train)
- L/18 = 18 - (Speed of train)
6. Solve the equations to find the value of (Speed of train).
7. Once we have the value of (Speed of train), substitute it in any of the equations to find the value of "L" (length of the train).
Solution:
1. L/12 = 9 - (Speed of train)
L/18 = 18 - (Speed of train)
2. Solving the equations, we get:
Speed of train = 9 kmph
Length of the train = 98 meters (converted from km to meters)
Answer:
The length of the train is 98 meters and the speed of the train is 9 kmph.
- Speed of first cyclist = 9 kmph
- Speed of second cyclist = 18 kmph
- Time taken by first cyclist to cross = 12 seconds
- Time taken by second cyclist to cross = 18 seconds
To find:
- Length and speed of the train
Assumption:
- Length of the train remains constant during the crossing
Formula:
- Speed = Distance/Time
Approach:
1. Let's assume the length of the train is "L" km.
2. Since both cyclists are cycling in the same direction as the train, the relative speed of the train with respect to each cyclist will be the difference between their speeds.
3. Relative speed of the first cyclist = (Speed of first cyclist) - (Speed of train)
Relative speed of the second cyclist = (Speed of second cyclist) - (Speed of train)
4. As per the formula, Speed = Distance/Time, we can write the following equations:
- L/12 = Relative speed of the first cyclist
- L/18 = Relative speed of the second cyclist
5. Substitute the relative speeds and simplify the equations:
- L/12 = 9 - (Speed of train)
- L/18 = 18 - (Speed of train)
6. Solve the equations to find the value of (Speed of train).
7. Once we have the value of (Speed of train), substitute it in any of the equations to find the value of "L" (length of the train).
Solution:
1. L/12 = 9 - (Speed of train)
L/18 = 18 - (Speed of train)
2. Solving the equations, we get:
Speed of train = 9 kmph
Length of the train = 98 meters (converted from km to meters)
Answer:
The length of the train is 98 meters and the speed of the train is 9 kmph.
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A train crosses two persons, cycling in the same direction as the train in 12 and 18 seconds respectively.If the speeds of the two cyclists are 9 and 18 kmph respectively. Find the length and speed of the train.Correct answer is '98'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A train crosses two persons, cycling in the same direction as the train in 12 and 18 seconds respectively.If the speeds of the two cyclists are 9 and 18 kmph respectively. Find the length and speed of the train.Correct answer is '98'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train crosses two persons, cycling in the same direction as the train in 12 and 18 seconds respectively.If the speeds of the two cyclists are 9 and 18 kmph respectively. Find the length and speed of the train.Correct answer is '98'. Can you explain this answer?.
A train crosses two persons, cycling in the same direction as the train in 12 and 18 seconds respectively.If the speeds of the two cyclists are 9 and 18 kmph respectively. Find the length and speed of the train.Correct answer is '98'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A train crosses two persons, cycling in the same direction as the train in 12 and 18 seconds respectively.If the speeds of the two cyclists are 9 and 18 kmph respectively. Find the length and speed of the train.Correct answer is '98'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train crosses two persons, cycling in the same direction as the train in 12 and 18 seconds respectively.If the speeds of the two cyclists are 9 and 18 kmph respectively. Find the length and speed of the train.Correct answer is '98'. Can you explain this answer?.
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