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A steamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream be 2km/hr , find the speed of the steamer in still water.?
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A steamer goes downstream from one port to another in 6 hours. It cove...
Problem: Finding the speed of the steamer in still water.
Given:
- Time taken by steamer downstream = 6 hours
- Time taken by steamer upstream = 7 hours
- Speed of the stream = 2 km/hr
To find: Speed of the steamer in still water.
Solution:
Let the speed of the steamer in still water be 'x' km/hr.
Formula:
- Speed downstream = (Speed of steamer + Speed of stream) km/hr
- Speed upstream = (Speed of steamer - Speed of stream) km/hr
Calculations:
Let's calculate the distance between two ports first.
- Distance = Speed x Time
- Distance downstream = Distance upstream
- Speed downstream = (x + 2) km/hr
- Speed upstream = (x - 2) km/hr
- Time downstream = 6 hours
- Time upstream = 7 hours
Therefore, Distance = Speed x Time
- (x + 2) x 6 = (x - 2) x 7
- 6x + 12 = 7x - 14
- x = 26 km/hr
Therefore, the speed of the steamer in still water is 26 km/hr.
Answer: The speed of the steamer in still water is 26 km/hr.
Given:
- Time taken by steamer downstream = 6 hours
- Time taken by steamer upstream = 7 hours
- Speed of the stream = 2 km/hr
To find: Speed of the steamer in still water.
Solution:
Let the speed of the steamer in still water be 'x' km/hr.
Formula:
- Speed downstream = (Speed of steamer + Speed of stream) km/hr
- Speed upstream = (Speed of steamer - Speed of stream) km/hr
Calculations:
Let's calculate the distance between two ports first.
- Distance = Speed x Time
- Distance downstream = Distance upstream
- Speed downstream = (x + 2) km/hr
- Speed upstream = (x - 2) km/hr
- Time downstream = 6 hours
- Time upstream = 7 hours
Therefore, Distance = Speed x Time
- (x + 2) x 6 = (x - 2) x 7
- 6x + 12 = 7x - 14
- x = 26 km/hr
Therefore, the speed of the steamer in still water is 26 km/hr.
Answer: The speed of the steamer in still water is 26 km/hr.
Community Answer
A steamer goes downstream from one port to another in 6 hours. It cove...
Let the speed of steamer in still water is X km/h..
now
speed of steamer in downstream is (X +2) km/h
so , distance = (X+2)× 6 KM
AND speed of steamer in upstream is (X-2)km/h
so, distance = (X- 2)× 7 KM
A/Q
6X+ 12 = 7X - 14
6X- 7X = - 14 - 12
X = 26 KM /h...
now
speed of steamer in downstream is (X +2) km/h
so , distance = (X+2)× 6 KM
AND speed of steamer in upstream is (X-2)km/h
so, distance = (X- 2)× 7 KM
A/Q
6X+ 12 = 7X - 14
6X- 7X = - 14 - 12
X = 26 KM /h...
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A steamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream be 2km/hr , find the speed of the steamer in still water.?
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A steamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream be 2km/hr , find the speed of the steamer in still water.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A steamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream be 2km/hr , find the speed of the steamer in still water.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream be 2km/hr , find the speed of the steamer in still water.?.
A steamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream be 2km/hr , find the speed of the steamer in still water.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A steamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream be 2km/hr , find the speed of the steamer in still water.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream be 2km/hr , find the speed of the steamer in still water.?.
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