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A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 km/hr and 4km/hr and passes them completely in 9 and 10 seconds respectively. The length of the train (m) is
- a)10
- b)50
- c)40
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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A train overtakes two persons who are walking in the same direction in...
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A train overtakes two persons who are walking in the same direction in...
Given Information:
- Train overtakes two persons who are walking in the same direction as the train.
- The speed of the first person is 2 km/hr.
- The speed of the second person is 4 km/hr.
- The train passes the first person completely in 9 seconds.
- The train passes the second person completely in 10 seconds.
To Find:
The length of the train (in meters).
Assumptions:
- The speeds mentioned for the persons are constant.
- The length of the train is the same when passing both persons.
Approach:
1. Determine the relative speed of the train with respect to each person.
2. Use the formula: length = speed × time to find the length of the train.
3. Compare the lengths obtained from both persons.
4. If the lengths are the same, then that is the length of the train. Otherwise, take the average of the two lengths.
Solution:
1. Relative speed of the train with respect to the first person = speed of the train - speed of the person = (2 km/hr - 0 km/hr) = 2 km/hr.
2. Length of the train when passing the first person = relative speed × time = 2 km/hr × (9/3600) hr = (1/180) km = (1/180) × 1000 m = 5.56 m.
3. Relative speed of the train with respect to the second person = speed of the train - speed of the person = (4 km/hr - 0 km/hr) = 4 km/hr.
4. Length of the train when passing the second person = relative speed × time = 4 km/hr × (10/3600) hr = (1/900) km = (1/900) × 1000 m = 1.11 m.
5. As the lengths obtained from both persons are different, we take the average of the two lengths.
Average length = (5.56 m + 1.11 m) / 2 = 3.33 m.
6. Therefore, the length of the train is approximately 3.33 meters, which is not one of the given options (A, B, C, D).
7. Hence, the correct answer is option 'D' (None of these).
- Train overtakes two persons who are walking in the same direction as the train.
- The speed of the first person is 2 km/hr.
- The speed of the second person is 4 km/hr.
- The train passes the first person completely in 9 seconds.
- The train passes the second person completely in 10 seconds.
To Find:
The length of the train (in meters).
Assumptions:
- The speeds mentioned for the persons are constant.
- The length of the train is the same when passing both persons.
Approach:
1. Determine the relative speed of the train with respect to each person.
2. Use the formula: length = speed × time to find the length of the train.
3. Compare the lengths obtained from both persons.
4. If the lengths are the same, then that is the length of the train. Otherwise, take the average of the two lengths.
Solution:
1. Relative speed of the train with respect to the first person = speed of the train - speed of the person = (2 km/hr - 0 km/hr) = 2 km/hr.
2. Length of the train when passing the first person = relative speed × time = 2 km/hr × (9/3600) hr = (1/180) km = (1/180) × 1000 m = 5.56 m.
3. Relative speed of the train with respect to the second person = speed of the train - speed of the person = (4 km/hr - 0 km/hr) = 4 km/hr.
4. Length of the train when passing the second person = relative speed × time = 4 km/hr × (10/3600) hr = (1/900) km = (1/900) × 1000 m = 1.11 m.
5. As the lengths obtained from both persons are different, we take the average of the two lengths.
Average length = (5.56 m + 1.11 m) / 2 = 3.33 m.
6. Therefore, the length of the train is approximately 3.33 meters, which is not one of the given options (A, B, C, D).
7. Hence, the correct answer is option 'D' (None of these).
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A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 km/hr and 4km/hr and passes them completely in 9 and 10 seconds respectively. The length of the train (m) isa)10b)50c)40d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 km/hr and 4km/hr and passes them completely in 9 and 10 seconds respectively. The length of the train (m) isa)10b)50c)40d)None of theseCorrect answer is option 'B'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 km/hr and 4km/hr and passes them completely in 9 and 10 seconds respectively. The length of the train (m) isa)10b)50c)40d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 km/hr and 4km/hr and passes them completely in 9 and 10 seconds respectively. The length of the train (m) isa)10b)50c)40d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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