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A boat travels 25 km upstream and 44 km downstream in 9 hours also it covers 15 km upstream and 22 km downstream in 5 hours. find the speed of the boat in the still water and that of the stream?
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A boat travels 25 km upstream and 44 km downstream in 9 hours also it ...
Let Speed of Boat Be x km/h &Speed of Stream be y km/h AtQ, 25/(x-y) + 44/(x+y) = 9 ... (I) Also, 15/(x-y) + 22/(x+y) = 5 ... (II) Now let, 1/(x-y) = a ; 1/(x+y) = b Then, Eqn (I) will be : 25a+44b=9 & Eqn (II) Will be: 15a+22b=5 . Now, Eqn(II)×2 - Eqn(I) 5a=1 so, a=1/5 On putting value of a in eqn(II) b=1/11 But, a = 1/(X-y) = 1/5 so x-y=5 ... eqn(3) Also b=1/(x+y) = 1/11 so, x+y=11 .. eqn(4) on adding eqn3&4 x=8 y=3 so,Speed of Boat= 8 km/h
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A boat travels 25 km upstream and 44 km downstream in 9 hours also it ...
Problem Statement:
A boat travels 25 km upstream and 44 km downstream in 9 hours also it covers 15 km upstream and 22 km downstream in 5 hours. Find the speed of the boat in the still water and that of the stream?
Solution:
Let's assume the speed of the boat in still water be x km/hr and the speed of the stream be y km/hr.
We know that the formula for the speed of the boat in upstream and downstream is given by:
Speed of boat in upstream = (Speed of boat in still water) - (Speed of stream)
Speed of boat in downstream = (Speed of boat in still water) + (Speed of stream)
Using the above formulae, we can form two equations as follows:
Equation 1: 25/(x-y) + 44/(x+y) = 9
Equation 2: 15/(x-y) + 22/(x+y) = 5
Solving the above two equations, we get:
x = 10 km/hr
y = 5 km/hr
Therefore, the speed of the boat in still water is 10 km/hr and the speed of the stream is 5 km/hr.
Conclusion:
Thus, the speed of the boat in still water is 10 km/hr and the speed of the stream is 5 km/hr.
A boat travels 25 km upstream and 44 km downstream in 9 hours also it covers 15 km upstream and 22 km downstream in 5 hours. Find the speed of the boat in the still water and that of the stream?
Solution:
Let's assume the speed of the boat in still water be x km/hr and the speed of the stream be y km/hr.
We know that the formula for the speed of the boat in upstream and downstream is given by:
Speed of boat in upstream = (Speed of boat in still water) - (Speed of stream)
Speed of boat in downstream = (Speed of boat in still water) + (Speed of stream)
Using the above formulae, we can form two equations as follows:
Equation 1: 25/(x-y) + 44/(x+y) = 9
Equation 2: 15/(x-y) + 22/(x+y) = 5
Solving the above two equations, we get:
x = 10 km/hr
y = 5 km/hr
Therefore, the speed of the boat in still water is 10 km/hr and the speed of the stream is 5 km/hr.
Conclusion:
Thus, the speed of the boat in still water is 10 km/hr and the speed of the stream is 5 km/hr.
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A boat travels 25 km upstream and 44 km downstream in 9 hours also it covers 15 km upstream and 22 km downstream in 5 hours. find the speed of the boat in the still water and that of the stream?
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A boat travels 25 km upstream and 44 km downstream in 9 hours also it covers 15 km upstream and 22 km downstream in 5 hours. find the speed of the boat in the still water and that of the stream? 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 travels 25 km upstream and 44 km downstream in 9 hours also it covers 15 km upstream and 22 km downstream in 5 hours. find the speed of the boat in the still water and that of the stream? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat travels 25 km upstream and 44 km downstream in 9 hours also it covers 15 km upstream and 22 km downstream in 5 hours. find the speed of the boat in the still water and that of the stream?.
A boat travels 25 km upstream and 44 km downstream in 9 hours also it covers 15 km upstream and 22 km downstream in 5 hours. find the speed of the boat in the still water and that of the stream? 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 travels 25 km upstream and 44 km downstream in 9 hours also it covers 15 km upstream and 22 km downstream in 5 hours. find the speed of the boat in the still water and that of the stream? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat travels 25 km upstream and 44 km downstream in 9 hours also it covers 15 km upstream and 22 km downstream in 5 hours. find the speed of the boat in the still water and that of the stream?.
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