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The ratio between the speed of a boat upstream and downstream is in the ratio of 3 : 5. What is the speed of the boat in still water, if it covers 120 km downstream in 8 hour?
- a)10 km/hr
- b)15 km/hr
- c)12 km/hr
- d)20 km/hr
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The ratio between the speed of a boat upstream and downstream is in th...
Let speed of boat be B.
Speed of stream = S
Speed of boat upstream = 3x
Speed of boat downstream = 5x
∴ B + S = 5x ----(1)
And B – S = 3x ----(2)
On solving equation (1) and (2)
B = 4x
S = x
According to question,
120 km downstream can be covered in 8 hours-time
120/5x = 8
⇒ x = 3
∴ Speed of the boat in still water = 4 × 3 = 12 km/hr
Speed of stream = S
Speed of boat upstream = 3x
Speed of boat downstream = 5x
∴ B + S = 5x ----(1)
And B – S = 3x ----(2)
On solving equation (1) and (2)
B = 4x
S = x
According to question,
120 km downstream can be covered in 8 hours-time
120/5x = 8
⇒ x = 3
∴ Speed of the boat in still water = 4 × 3 = 12 km/hr
Most Upvoted Answer
The ratio between the speed of a boat upstream and downstream is in th...
Given:
- The ratio between the speed of a boat upstream and downstream is 3 : 5.
- The boat covers 120 km downstream in 8 hours.
To find:
- The speed of the boat in still water.
Solution:
Let the speed of the boat in still water be x km/hr.
Let the speed of the boat upstream be 3y km/hr.
Let the speed of the boat downstream be 5y km/hr.
Understanding the problem:
When the boat is moving upstream against the current, its speed relative to the ground is reduced by the speed of the current.
When the boat is moving downstream with the current, its speed relative to the ground is increased by the speed of the current.
Calculating the speed of the boat:
- When the boat is moving downstream, it covers 120 km in 8 hours. Therefore, the speed of the boat downstream is given by:
120 km / 8 hours = 15 km/hr.
- Since the speed of the boat downstream is 5y km/hr, we can equate it to 15 km/hr and solve for y:
5y = 15
y = 15 / 5
y = 3 km/hr.
- Now that we have the value of y, we can substitute it to find the speed of the boat in still water:
x = (3y + 5y) / 2
x = 8y / 2
x = 4y
x = 4 * 3
x = 12 km/hr.
Answer:
The speed of the boat in still water is 12 km/hr. Therefore, option C is the correct answer.
- The ratio between the speed of a boat upstream and downstream is 3 : 5.
- The boat covers 120 km downstream in 8 hours.
To find:
- The speed of the boat in still water.
Solution:
Let the speed of the boat in still water be x km/hr.
Let the speed of the boat upstream be 3y km/hr.
Let the speed of the boat downstream be 5y km/hr.
Understanding the problem:
When the boat is moving upstream against the current, its speed relative to the ground is reduced by the speed of the current.
When the boat is moving downstream with the current, its speed relative to the ground is increased by the speed of the current.
Calculating the speed of the boat:
- When the boat is moving downstream, it covers 120 km in 8 hours. Therefore, the speed of the boat downstream is given by:
120 km / 8 hours = 15 km/hr.
- Since the speed of the boat downstream is 5y km/hr, we can equate it to 15 km/hr and solve for y:
5y = 15
y = 15 / 5
y = 3 km/hr.
- Now that we have the value of y, we can substitute it to find the speed of the boat in still water:
x = (3y + 5y) / 2
x = 8y / 2
x = 4y
x = 4 * 3
x = 12 km/hr.
Answer:
The speed of the boat in still water is 12 km/hr. Therefore, option C is the correct answer.
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The ratio between the speed of a boat upstream and downstream is in the ratio of 3 : 5. What is the speed of the boat in still water, if it covers 120 km downstream in 8 hour?a)10 km/hrb)15 km/hrc)12 km/hrd)20 km/hrCorrect answer is option 'C'. Can you explain this answer?
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The ratio between the speed of a boat upstream and downstream is in the ratio of 3 : 5. What is the speed of the boat in still water, if it covers 120 km downstream in 8 hour?a)10 km/hrb)15 km/hrc)12 km/hrd)20 km/hrCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The ratio between the speed of a boat upstream and downstream is in the ratio of 3 : 5. What is the speed of the boat in still water, if it covers 120 km downstream in 8 hour?a)10 km/hrb)15 km/hrc)12 km/hrd)20 km/hrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio between the speed of a boat upstream and downstream is in the ratio of 3 : 5. What is the speed of the boat in still water, if it covers 120 km downstream in 8 hour?a)10 km/hrb)15 km/hrc)12 km/hrd)20 km/hrCorrect answer is option 'C'. Can you explain this answer?.
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