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A boat can travel 20 km downstream in 24 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 15 km upstream?
- a)20 min
- b)22 min
- c)25 min
- d)30 min
- e)35 min
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A boat can travel 20 km downstream in 24 min. The ratio of the speed o...
Down speed = 20/24*60 = 50km/hr
4:1 = 4x:x
Downstream speed = 4x+x = 5x
Upstream speed = 4x-x = 3x
5x = 50; x = 10
so up speed 3*10 = 30
Time = 15/30*60 = 30min.
4:1 = 4x:x
Downstream speed = 4x+x = 5x
Upstream speed = 4x-x = 3x
5x = 50; x = 10
so up speed 3*10 = 30
Time = 15/30*60 = 30min.
Most Upvoted Answer
A boat can travel 20 km downstream in 24 min. The ratio of the speed o...
Down speed = 20/24*60 = 50km/hr
4:1 = 4x:x
Downstream speed = 4x+x = 5x
Upstream speed = 4x-x = 3x
5x = 50; x = 10
so up speed 3*10 = 30
Time = 15/30*60 = 30min.
4:1 = 4x:x
Downstream speed = 4x+x = 5x
Upstream speed = 4x-x = 3x
5x = 50; x = 10
so up speed 3*10 = 30
Time = 15/30*60 = 30min.
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Community Answer
A boat can travel 20 km downstream in 24 min. The ratio of the speed o...
Given:
Speed ratio of the boat in still water to the speed of the stream = 4:1
Let the speed of the boat in still water be 4x and the speed of the stream be x.
Speed of the boat downstream = (4x + x) km/hr = 5x km/hr
Distance travelled downstream in 24 min = 20 km
Speed = Distance/Time
Time taken to travel 20 km downstream = 24 min = 24/60 hours = 2/5 hours
Therefore, 5x = 20/(2/5) = 50 km/hr
Speed of the boat upstream = (4x - x) km/hr = 3x km/hr
Time taken to travel 15 km upstream = Distance/Speed
= 15/3x
= 5/x hours
= (5/x) * 60 minutes
= 300/x minutes
Substituting x = 10 km/hr, we get
Time taken to travel 15 km upstream = 300/10 minutes = 30 minutes = 0.5 hours
Therefore, the boat will take 30 minutes or 0.5 hours to cover 15 km upstream.
Hence, the correct answer is option D.
Speed ratio of the boat in still water to the speed of the stream = 4:1
Let the speed of the boat in still water be 4x and the speed of the stream be x.
Speed of the boat downstream = (4x + x) km/hr = 5x km/hr
Distance travelled downstream in 24 min = 20 km
Speed = Distance/Time
Time taken to travel 20 km downstream = 24 min = 24/60 hours = 2/5 hours
Therefore, 5x = 20/(2/5) = 50 km/hr
Speed of the boat upstream = (4x - x) km/hr = 3x km/hr
Time taken to travel 15 km upstream = Distance/Speed
= 15/3x
= 5/x hours
= (5/x) * 60 minutes
= 300/x minutes
Substituting x = 10 km/hr, we get
Time taken to travel 15 km upstream = 300/10 minutes = 30 minutes = 0.5 hours
Therefore, the boat will take 30 minutes or 0.5 hours to cover 15 km upstream.
Hence, the correct answer is option D.
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A boat can travel 20 km downstream in 24 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 15 km upstream?a)20 minb)22 minc)25 mind)30 mine)35 minCorrect answer is option 'D'. Can you explain this answer?
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A boat can travel 20 km downstream in 24 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 15 km upstream?a)20 minb)22 minc)25 mind)30 mine)35 minCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A boat can travel 20 km downstream in 24 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 15 km upstream?a)20 minb)22 minc)25 mind)30 mine)35 minCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A boat can travel 20 km downstream in 24 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 15 km upstream?a)20 minb)22 minc)25 mind)30 mine)35 minCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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