Class 10 Exam > Class 10 Questions > Swati can row her boat at a speed of 5 km/h i...
Start Learning for Free
Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.?
Most Upvoted Answer
Swati can row her boat at a speed of 5 km/h in still water. If it take...
Community Answer
Swati can row her boat at a speed of 5 km/h in still water. If it take...
Problem
Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.
Solution
Let the speed of the stream be x km/h.
Speed of boat downstream
The speed of the boat downstream is the sum of the speed of the boat in still water and the speed of the stream.
Speed downstream = 5 + x km/h
Speed of boat upstream
The speed of the boat upstream is the difference between the speed of the boat in still water and the speed of the stream.
Speed upstream = 5 - x km/h
Time taken to row upstream
Let t be the time taken to row the boat upstream.
Distance = 5.25 km
Speed = Speed upstream = 5 - x km/h
Time = Distance/Speed = 5.25/(5-x) hours
Time taken to row downstream
The time taken to row the boat downstream is 1 hour less than the time taken to row upstream.
Time downstream = t - 1 hour
Distance covered downstream
The distance covered downstream is the same as the distance covered upstream.
Distance downstream = Distance upstream = 5.25 km
Speed downstream = 5 + x km/h
Time downstream = t - 1 hour
Distance downstream = Speed downstream × Time downstream
5.25 = (5 + x) × (t - 1)
5.25 = 5t + xt - 5 - x
6.25 = xt
t = 6.25/x
Substituting t = 6.25/x in the equation 5.25 = (5 + x) × (t - 1), we get:
5.25 = (5 + x) × (6.25/x - 1)
5.25 = 31.25/x - 5 - x
10.25 = 26.25/x
x = 2.56 km/h
Therefore, the speed of the stream is 2.56 km/h.
Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.
Solution
Let the speed of the stream be x km/h.
Speed of boat downstream
The speed of the boat downstream is the sum of the speed of the boat in still water and the speed of the stream.
Speed downstream = 5 + x km/h
Speed of boat upstream
The speed of the boat upstream is the difference between the speed of the boat in still water and the speed of the stream.
Speed upstream = 5 - x km/h
Time taken to row upstream
Let t be the time taken to row the boat upstream.
Distance = 5.25 km
Speed = Speed upstream = 5 - x km/h
Time = Distance/Speed = 5.25/(5-x) hours
Time taken to row downstream
The time taken to row the boat downstream is 1 hour less than the time taken to row upstream.
Time downstream = t - 1 hour
Distance covered downstream
The distance covered downstream is the same as the distance covered upstream.
Distance downstream = Distance upstream = 5.25 km
Speed downstream = 5 + x km/h
Time downstream = t - 1 hour
Distance downstream = Speed downstream × Time downstream
5.25 = (5 + x) × (t - 1)
5.25 = 5t + xt - 5 - x
6.25 = xt
t = 6.25/x
Substituting t = 6.25/x in the equation 5.25 = (5 + x) × (t - 1), we get:
5.25 = (5 + x) × (6.25/x - 1)
5.25 = 31.25/x - 5 - x
10.25 = 26.25/x
x = 2.56 km/h
Therefore, the speed of the stream is 2.56 km/h.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.?
Question Description
Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed 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 Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.?.
Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed 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 Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.?.
Solutions for Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.? defined & explained in the simplest way possible. Besides giving the explanation of
Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.?, a detailed solution for Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.? has been provided alongside types of Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.? theory, EduRev gives you an
ample number of questions to practice Swati can row her boat at a speed of 5 km/h in still water. If it takes her 1 hour more to row the boat 5.25 km upstream than to return downstream, find the speed of the stream.? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup