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A boat goes 30km upstream and 44 km downstream in 10 hrs . in 13 hrs , it can go 40 km upstream and 55km downstream. determine the speed of the stream and that of the boat in still water.
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A boat goes 30km upstream and 44 km downstream in 10 hrs . in 13 hrs ,...
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A boat goes 30km upstream and 44 km downstream in 10 hrs . in 13 hrs ,...
Given Information:
- 30 km upstream + 44 km downstream in 10 hrs
- 40 km upstream + 55 km downstream in 13 hrs
Let's assume:
- Speed of the stream = x km/hr
- Speed of the boat in still water = y km/hr
Calculating Speed of the Boat:
- We know that speed = distance/time
- From the first statement, we can create two equations:
- 30/(y-x) + 44/(y+x) = 10
- 40/(y-x) + 55/(y+x) = 13
- By solving these equations, we get y = 17 km/hr
Calculating Speed of the Stream:
- Now that we know the speed of the boat, we can substitute it in either of the two equations to get the speed of the stream.
- Substituting y = 17 km/hr in the first equation, we get x = 7 km/hr
Final Answer:
- Speed of the stream = 7 km/hr
- Speed of the boat in still water = 17 km/hr
Explanation:
- The problem can be solved by using the formula: speed = distance/time
- We assume two variables - speed of the stream and speed of the boat in still water, and create two equations using the given information.
- We then solve these equations to get the values of the variables.
- Finally, we substitute the value of one variable in either of the equations to get the value of the other variable.
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A boat goes 30km upstream and 44 km downstream in 10 hrs . in 13 hrs , it can go 40 km upstream and 55km downstream. determine the speed of the stream and that of the boat in still water.
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A boat goes 30km upstream and 44 km downstream in 10 hrs . in 13 hrs , it can go 40 km upstream and 55km downstream. determine the speed of the stream and that of the boat in still water. for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A boat goes 30km upstream and 44 km downstream in 10 hrs . in 13 hrs , it can go 40 km upstream and 55km downstream. determine the speed of the stream and that of the boat in still water. covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat goes 30km upstream and 44 km downstream in 10 hrs . in 13 hrs , it can go 40 km upstream and 55km downstream. determine the speed of the stream and that of the boat in still water..
A boat goes 30km upstream and 44 km downstream in 10 hrs . in 13 hrs , it can go 40 km upstream and 55km downstream. determine the speed of the stream and that of the boat in still water. for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A boat goes 30km upstream and 44 km downstream in 10 hrs . in 13 hrs , it can go 40 km upstream and 55km downstream. determine the speed of the stream and that of the boat in still water. covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat goes 30km upstream and 44 km downstream in 10 hrs . in 13 hrs , it can go 40 km upstream and 55km downstream. determine the speed of the stream and that of the boat in still water..
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