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Race boat covers a distance in 66 km downstream in 110 minutes it covers the distance upstream in in 120 minutes the speed of boat in still water is 34.5 km per hour find the speed of the stream?
Verified Answer
Race boat covers a distance in 66 km downstream in 110 minutes it cove...
Take the speed of the stream to be x.
its given that the boat covered the distance downsretam in 110 min.we convert it to hrs so we get 110/60 which is equal to 11/6.
as we know d=s*t
we get 66=11/6(34.5+x) [34.5+x is there becuz we are going downstream]
66*6/11=34.5+x
6*6=34.5+x
36=34.5+x
x=36-34.5
x=1.5 km/hr
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Race boat covers a distance in 66 km downstream in 110 minutes it cove...
Given information:
- Distance covered downstream = 66 km
- Time taken downstream = 110 minutes
- Distance covered upstream = 66 km
- Time taken upstream = 120 minutes
- Speed of the boat in still water = 34.5 km/h
To find:
- Speed of the stream
Approach:
We can solve this problem by using the concept of relative speed. The speed of the stream can be determined by calculating the difference between the speed of the boat in still water and the speed of the boat when moving upstream or downstream.
Calculations:
1. Calculating speed downstream:
- Distance covered downstream = 66 km
- Time taken downstream = 110 minutes = 110/60 = 1.83 hours (since 1 hour = 60 minutes)
- Speed downstream = Distance/Time = 66/1.83 = 36.07 km/h
2. Calculating speed upstream:
- Distance covered upstream = 66 km
- Time taken upstream = 120 minutes = 120/60 = 2 hours
- Speed upstream = Distance/Time = 66/2 = 33 km/h
3. Calculating speed of the stream:
- Speed of the boat in still water = 34.5 km/h
- Speed downstream = Speed of the boat in still water + Speed of the stream
- Speed upstream = Speed of the boat in still water - Speed of the stream
Using the above equations, we can write two equations as follows:
- 36.07 = 34.5 + Speed of the stream (Equation 1)
- 33 = 34.5 - Speed of the stream (Equation 2)
Solving the equations:
- Subtracting Equation 2 from Equation 1, we get:
- 36.07 - 33 = 34.5 + Speed of the stream - (34.5 - Speed of the stream)
- 3.07 = 2 * Speed of the stream
- Dividing both sides by 2, we get:
- Speed of the stream = 3.07/2 = 1.535 km/h
Answer:
The speed of the stream is 1.535 km/h.
- Distance covered downstream = 66 km
- Time taken downstream = 110 minutes
- Distance covered upstream = 66 km
- Time taken upstream = 120 minutes
- Speed of the boat in still water = 34.5 km/h
To find:
- Speed of the stream
Approach:
We can solve this problem by using the concept of relative speed. The speed of the stream can be determined by calculating the difference between the speed of the boat in still water and the speed of the boat when moving upstream or downstream.
Calculations:
1. Calculating speed downstream:
- Distance covered downstream = 66 km
- Time taken downstream = 110 minutes = 110/60 = 1.83 hours (since 1 hour = 60 minutes)
- Speed downstream = Distance/Time = 66/1.83 = 36.07 km/h
2. Calculating speed upstream:
- Distance covered upstream = 66 km
- Time taken upstream = 120 minutes = 120/60 = 2 hours
- Speed upstream = Distance/Time = 66/2 = 33 km/h
3. Calculating speed of the stream:
- Speed of the boat in still water = 34.5 km/h
- Speed downstream = Speed of the boat in still water + Speed of the stream
- Speed upstream = Speed of the boat in still water - Speed of the stream
Using the above equations, we can write two equations as follows:
- 36.07 = 34.5 + Speed of the stream (Equation 1)
- 33 = 34.5 - Speed of the stream (Equation 2)
Solving the equations:
- Subtracting Equation 2 from Equation 1, we get:
- 36.07 - 33 = 34.5 + Speed of the stream - (34.5 - Speed of the stream)
- 3.07 = 2 * Speed of the stream
- Dividing both sides by 2, we get:
- Speed of the stream = 3.07/2 = 1.535 km/h
Answer:
The speed of the stream is 1.535 km/h.
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Race boat covers a distance in 66 km downstream in 110 minutes it covers the distance upstream in in 120 minutes the speed of boat in still water is 34.5 km per hour find the speed of the stream?
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Race boat covers a distance in 66 km downstream in 110 minutes it covers the distance upstream in in 120 minutes the speed of boat in still water is 34.5 km per hour find the speed of the stream? 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 Race boat covers a distance in 66 km downstream in 110 minutes it covers the distance upstream in in 120 minutes the speed of boat in still water is 34.5 km per hour find the speed of the stream? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Race boat covers a distance in 66 km downstream in 110 minutes it covers the distance upstream in in 120 minutes the speed of boat in still water is 34.5 km per hour find the speed of the stream?.
Race boat covers a distance in 66 km downstream in 110 minutes it covers the distance upstream in in 120 minutes the speed of boat in still water is 34.5 km per hour find the speed of the stream? 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 Race boat covers a distance in 66 km downstream in 110 minutes it covers the distance upstream in in 120 minutes the speed of boat in still water is 34.5 km per hour find the speed of the stream? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Race boat covers a distance in 66 km downstream in 110 minutes it covers the distance upstream in in 120 minutes the speed of boat in still water is 34.5 km per hour find the speed of the stream?.
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