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Downstream speed of boat A is 20% more than the downstream speed of boat B whose upstream speed is 6 km/hr less than upstream speed of boat A. What is the speed of boat A in still water? The stream for both boat is moving with 10 km/hr.
- a)28km/hr
- b)26km/hr
- c)24km/hr
- d)22km/hr
Correct answer is option 'B'. Can you explain this answer?
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Downstream speed of boat A is 20% more than the downstream speed of b...
Stream speed = 10 km/hr
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Downstream speed of boat A = (6/5) x downstream speed of boat B
Upstream speed of boat A - upstream speed of boat B = downstream speed of boat A - downstream speed of boat B = 6
(6/5) x downstream speed of boat B - downstream speed of boat B = 6
Downstream speed of boat B = 30 km/hr
Downstream speed of boat A = 30 + 6 = 36 km/hr
Speed of boat A in still water = 36 - 10 = 26 km/hr
Most Upvoted Answer
Downstream speed of boat A is 20% more than the downstream speed of b...
To solve this problem, we need to understand the concept of upstream and downstream speeds of boats.
The downstream speed refers to the speed at which a boat travels in the same direction as the current or stream of water. On the other hand, the upstream speed refers to the speed at which a boat travels in the opposite direction of the current or stream of water.
Let's assume the speed of boat A in still water is x km/hr.
Upstream Speed of Boat A:
The upstream speed of boat A is x - 10 km/hr. (Since the stream is moving at 10 km/hr in the opposite direction)
Upstream Speed of Boat B:
The upstream speed of boat B is (x - 10) - 6 km/hr. (Given that the upstream speed of boat B is 6 km/hr less than the upstream speed of boat A)
Downstream Speed of Boat B:
The downstream speed of boat B is (x - 10) + 10 km/hr. (Since the stream is moving at 10 km/hr in the same direction)
Downstream Speed of Boat A:
The downstream speed of boat A is x + 10 km/hr. (Since the stream is moving at 10 km/hr in the same direction)
Given that the downstream speed of boat A is 20% more than the downstream speed of boat B, we can set up the following equation:
x + 10 = 1.2 * ((x - 10) + 10)
Simplifying the equation:
x + 10 = 1.2 * x
10 = 0.2 * x
x = 50
Therefore, the speed of boat A in still water is 50 km/hr.
Hence, the correct answer is option 'B' - 26 km/hr.
The downstream speed refers to the speed at which a boat travels in the same direction as the current or stream of water. On the other hand, the upstream speed refers to the speed at which a boat travels in the opposite direction of the current or stream of water.
Let's assume the speed of boat A in still water is x km/hr.
Upstream Speed of Boat A:
The upstream speed of boat A is x - 10 km/hr. (Since the stream is moving at 10 km/hr in the opposite direction)
Upstream Speed of Boat B:
The upstream speed of boat B is (x - 10) - 6 km/hr. (Given that the upstream speed of boat B is 6 km/hr less than the upstream speed of boat A)
Downstream Speed of Boat B:
The downstream speed of boat B is (x - 10) + 10 km/hr. (Since the stream is moving at 10 km/hr in the same direction)
Downstream Speed of Boat A:
The downstream speed of boat A is x + 10 km/hr. (Since the stream is moving at 10 km/hr in the same direction)
Given that the downstream speed of boat A is 20% more than the downstream speed of boat B, we can set up the following equation:
x + 10 = 1.2 * ((x - 10) + 10)
Simplifying the equation:
x + 10 = 1.2 * x
10 = 0.2 * x
x = 50
Therefore, the speed of boat A in still water is 50 km/hr.
Hence, the correct answer is option 'B' - 26 km/hr.
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Downstream speed of boat A is 20% more than the downstream speed of boat B whose upstream speed is 6 km/hr less than upstream speed of boat A. What is the speed of boat A in still water? The stream for both boat is moving with 10 km/hr.a)28km/hrb)26km/hrc)24km/hrd)22km/hrCorrect answer is option 'B'. Can you explain this answer?
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