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2 person are 16 km apart. they start walking at the same time towards each other and meet in 2 hours. If they had started at the same time but in same direction then they would have met in 8 hours. find their speeds.?
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2 person are 16 km apart. they start walking at the same time towards ...
Given information:
- Distance between the two persons = 16 km
- Time taken to meet when walking towards each other = 2 hours
- Time taken to meet when walking in the same direction = 8 hours
Let's assume:
- Speed of the first person = x km/hr
- Speed of the second person = y km/hr
When walking towards each other:
- Speed of the first person + speed of the second person = Total speed
- Total speed = x + y
- Distance = 16 km
- Time taken = 2 hours
Using the formula: distance = speed * time
16 = 2(x + y)
16 = 2x + 2y
8 = x + y (Equation 1)
When walking in the same direction:
- Speed of the first person - speed of the second person = Relative speed
- Relative speed = x - y
- Distance = 16 km
- Time taken = 8 hours
Using the formula: distance = speed * time
16 = 8(x - y)
16 = 8x - 8y
2 = x - y (Equation 2)
Solving equations 1 and 2:
From equation 1, we have: 8 = x + y
From equation 2, we have: 2 = x - y
Adding the two equations:
8 + 2 = 2x
10 = 2x
x = 5 km/hr
Substitute x = 5 km/hr back into equation 1:
8 = 5 + y
y = 3 km/hr
Therefore, the speed of the first person is 5 km/hr and the speed of the second person is 3 km/hr.
- Distance between the two persons = 16 km
- Time taken to meet when walking towards each other = 2 hours
- Time taken to meet when walking in the same direction = 8 hours
Let's assume:
- Speed of the first person = x km/hr
- Speed of the second person = y km/hr
When walking towards each other:
- Speed of the first person + speed of the second person = Total speed
- Total speed = x + y
- Distance = 16 km
- Time taken = 2 hours
Using the formula: distance = speed * time
16 = 2(x + y)
16 = 2x + 2y
8 = x + y (Equation 1)
When walking in the same direction:
- Speed of the first person - speed of the second person = Relative speed
- Relative speed = x - y
- Distance = 16 km
- Time taken = 8 hours
Using the formula: distance = speed * time
16 = 8(x - y)
16 = 8x - 8y
2 = x - y (Equation 2)
Solving equations 1 and 2:
From equation 1, we have: 8 = x + y
From equation 2, we have: 2 = x - y
Adding the two equations:
8 + 2 = 2x
10 = 2x
x = 5 km/hr
Substitute x = 5 km/hr back into equation 1:
8 = 5 + y
y = 3 km/hr
Therefore, the speed of the first person is 5 km/hr and the speed of the second person is 3 km/hr.
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2 person are 16 km apart. they start walking at the same time towards each other and meet in 2 hours. If they had started at the same time but in same direction then they would have met in 8 hours. find their speeds.?
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2 person are 16 km apart. they start walking at the same time towards each other and meet in 2 hours. If they had started at the same time but in same direction then they would have met in 8 hours. find their speeds.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2 person are 16 km apart. they start walking at the same time towards each other and meet in 2 hours. If they had started at the same time but in same direction then they would have met in 8 hours. find their speeds.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 person are 16 km apart. they start walking at the same time towards each other and meet in 2 hours. If they had started at the same time but in same direction then they would have met in 8 hours. find their speeds.?.
2 person are 16 km apart. they start walking at the same time towards each other and meet in 2 hours. If they had started at the same time but in same direction then they would have met in 8 hours. find their speeds.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2 person are 16 km apart. they start walking at the same time towards each other and meet in 2 hours. If they had started at the same time but in same direction then they would have met in 8 hours. find their speeds.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 person are 16 km apart. they start walking at the same time towards each other and meet in 2 hours. If they had started at the same time but in same direction then they would have met in 8 hours. find their speeds.?.
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