Boats & Streams MCQ & Objective Questions
The topic of "Boats & Streams" is crucial for students preparing for various exams in India. Understanding this concept not only enhances your mathematical skills but also boosts your confidence in solving objective questions. Practicing MCQs and important questions related to Boats & Streams can significantly improve your exam performance and conceptual clarity.
What You Will Practise Here
Understanding the basic concepts of speed, distance, and time in relation to boats and streams.
Formulas related to upstream and downstream movement.
Calculating the effective speed of boats in still water and in streams.
Solving problems involving relative speed in different scenarios.
Interpreting and drawing diagrams to visualize the movement of boats and streams.
Applying theoretical knowledge to practical problems.
Reviewing previous years' exam questions on Boats & Streams.
Exam Relevance
Boats & Streams is a significant topic in various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect questions that test their understanding of speed calculations, relative motion, and application of formulas. Common question patterns include direct calculations, word problems, and conceptual questions that require a solid grasp of the underlying principles.
Common Mistakes Students Make
Confusing upstream and downstream speeds, leading to incorrect calculations.
Neglecting to account for the speed of the stream when calculating effective speed.
Misinterpreting the question, especially in word problems.
Failing to apply the correct formula in different scenarios.
Overlooking the importance of units, which can lead to calculation errors.
FAQs
Question: What is the formula for calculating the speed of a boat in still water?Answer: The speed of the boat in still water can be calculated using the formula: Speed of boat = (Speed downstream + Speed upstream) / 2.
Question: How do I approach a Boats & Streams problem in an exam?Answer: Start by identifying the speeds involved, determine whether the problem is about upstream or downstream, and apply the relevant formulas accordingly.
Now is the time to enhance your understanding of Boats & Streams! Dive into our practice MCQs and test your knowledge to excel in your exams.
Q. A boat can travel 100 km downstream in 5 hours. If the speed of the stream is 10 km/h, what is the speed of the boat in still water?
A.
20 km/h
B.
30 km/h
C.
40 km/h
D.
50 km/h
Show solution
Solution
Speed downstream = Distance / Time = 100 / 5 = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 10 = 10 km/h.
Correct Answer:
C
— 40 km/h
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Q. A boat can travel 100 km downstream in 8 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
12 km/h
C.
14 km/h
D.
16 km/h
Show solution
Solution
Speed downstream = 100 / 8 = 12.5 km/h. Speed in still water = Speed downstream - Speed of current = 12.5 - 2 = 10.5 km/h.
Correct Answer:
B
— 12 km/h
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Q. A boat can travel 100 km downstream in 8 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
12 km/h
C.
15 km/h
D.
18 km/h
Show solution
Solution
Speed downstream = Distance / Time = 100 / 8 = 12.5 km/h. Speed of boat = Speed downstream - Speed of stream = 12.5 - 3 = 9.5 km/h.
Correct Answer:
C
— 15 km/h
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Q. A boat can travel 20 km downstream in 1 hour. If the speed of the current is 5 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
15 km/h
C.
20 km/h
D.
25 km/h
Show solution
Solution
Speed downstream = 20 km/h. Speed of boat in still water = Speed downstream - Speed of current = 20 km/h - 5 km/h = 15 km/h.
Correct Answer:
C
— 20 km/h
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Q. A boat can travel 20 km upstream in 4 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?
A.
4 km/h
B.
6 km/h
C.
8 km/h
D.
10 km/h
Show solution
Solution
Speed upstream = 20 / 4 = 5 km/h. Speed in still water = Speed upstream + Speed of current = 5 + 2 = 7 km/h.
Correct Answer:
C
— 8 km/h
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Q. A boat can travel 20 km upstream in 5 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?
A.
5 km/h
B.
7 km/h
C.
8 km/h
D.
10 km/h
Show solution
Solution
Speed upstream = 20 km / 5 h = 4 km/h. Let speed of boat = x, then x - 3 = 4, so x = 7 km/h.
Correct Answer:
B
— 7 km/h
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Q. A boat can travel 24 km upstream in 6 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
A.
4 km/h
B.
6 km/h
C.
8 km/h
D.
10 km/h
Show solution
Solution
Speed upstream = 24 / 6 = 4 km/h. Speed of boat = Speed upstream + Speed of stream = 4 + 2 = 6 km/h.
Correct Answer:
C
— 8 km/h
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Q. A boat can travel 36 km downstream in 2 hours. If the speed of the stream is 6 km/h, what is the speed of the boat in still water?
A.
12 km/h
B.
15 km/h
C.
18 km/h
D.
21 km/h
Show solution
Solution
Speed downstream = 36 / 2 = 18 km/h. Speed of boat = Speed downstream - Speed of stream = 18 - 6 = 12 km/h.
Correct Answer:
C
— 18 km/h
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Q. A boat can travel 40 km downstream in 2 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?
A.
12 km/h
B.
16 km/h
C.
20 km/h
D.
24 km/h
Show solution
Solution
Speed downstream = 40 km / 2 h = 20 km/h. Speed of boat in still water = Speed downstream - Speed of current = 20 km/h - 4 km/h = 16 km/h.
Correct Answer:
B
— 16 km/h
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Q. A boat can travel 40 km downstream in 2 hours. If the speed of the stream is 5 km/h, what is the speed of the boat in still water?
A.
15 km/h
B.
20 km/h
C.
25 km/h
D.
30 km/h
Show solution
Solution
Speed downstream = Distance / Time = 40 / 2 = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 5 = 15 km/h.
Correct Answer:
B
— 20 km/h
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Q. A boat can travel 40 km downstream in 2 hours. If the speed of the stream is 8 km/h, what is the speed of the boat in still water?
A.
12 km/h
B.
16 km/h
C.
20 km/h
D.
24 km/h
Show solution
Solution
Speed downstream = 40 / 2 = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 8 = 12 km/h.
Correct Answer:
C
— 20 km/h
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Q. A boat can travel 48 km downstream in 2 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
A.
20 km/h
B.
22 km/h
C.
24 km/h
D.
26 km/h
Show solution
Solution
Speed downstream = Distance / Time = 48 km / 2 h = 24 km/h. Speed of boat = Speed downstream - Speed of stream = 24 - 4 = 20 km/h.
Correct Answer:
C
— 24 km/h
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Q. A boat can travel 48 km downstream in 2 hours. What is the speed of the stream if the speed of the boat in still water is 20 km/h?
A.
4 km/h
B.
8 km/h
C.
12 km/h
D.
16 km/h
Show solution
Solution
Speed downstream = Distance / Time = 48 / 2 = 24 km/h. Speed of stream = Speed downstream - Speed of boat = 24 - 20 = 4 km/h.
Correct Answer:
B
— 8 km/h
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Q. A boat can travel 48 km downstream in 4 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
16 km/h
Show solution
Solution
Speed downstream = 48 / 4 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 4 = 8 km/h.
Correct Answer:
C
— 12 km/h
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Q. A boat can travel 48 km downstream in 4 hours. If the speed of the stream is 6 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
12 km/h
C.
14 km/h
D.
16 km/h
Show solution
Solution
Speed downstream = 48 / 4 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 6 = 6 km/h.
Correct Answer:
C
— 14 km/h
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Q. A boat can travel 48 km downstream in 4 hours. What is the speed of the current if the speed of the boat in still water is 10 km/h?
A.
2 km/h
B.
4 km/h
C.
6 km/h
D.
8 km/h
Show solution
Solution
Speed downstream = Distance/Time = 48 km / 4 hours = 12 km/h. Speed of current = Speed downstream - Speed in still water = 12 km/h - 10 km/h = 2 km/h.
Correct Answer:
C
— 6 km/h
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Q. A boat can travel 80 km downstream in 4 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
A.
16 km/h
B.
20 km/h
C.
24 km/h
D.
28 km/h
Show solution
Solution
Speed downstream = Distance / Time = 80 / 4 = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 4 = 16 km/h.
Correct Answer:
B
— 20 km/h
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Q. A boat can travel 80 km downstream in 4 hours. If the speed of the stream is 8 km/h, what is the speed of the boat in still water?
A.
16 km/h
B.
20 km/h
C.
24 km/h
D.
28 km/h
Show solution
Solution
Speed downstream = 80 km / 4 h = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 8 = 12 km/h.
Correct Answer:
B
— 20 km/h
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Q. A boat can travel 80 km upstream in 10 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed upstream = 80 / 10 = 8 km/h. Speed in still water = Speed upstream + Speed of current = 8 + 4 = 12 km/h.
Correct Answer:
B
— 10 km/h
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Q. A boat can travel at a speed of 10 km/h in still water. If the speed of the current is 2 km/h, what is the speed of the boat upstream?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed upstream = Speed in still water - Speed of current = 10 - 2 = 8 km/h.
Correct Answer:
A
— 8 km/h
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Q. A boat can travel at a speed of 10 km/h in still water. If the speed of the stream is 2 km/h, what is the speed of the boat downstream?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed downstream = Speed of boat + Speed of stream = 10 + 2 = 12 km/h.
Correct Answer:
C
— 12 km/h
Learn More →
Q. A boat can travel at a speed of 15 km/h in still water. If the speed of the stream is 3 km/h, what is the speed of the boat downstream?
A.
12 km/h
B.
15 km/h
C.
18 km/h
D.
20 km/h
Show solution
Solution
Speed downstream = Speed of boat + Speed of stream = 15 + 3 = 18 km/h.
Correct Answer:
C
— 18 km/h
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Q. A boat can travel at a speed of 15 km/h in still water. If the speed of the stream is 5 km/h, what is the speed of the boat downstream?
A.
10 km/h
B.
15 km/h
C.
20 km/h
D.
25 km/h
Show solution
Solution
Speed downstream = Speed of boat + Speed of stream = 15 + 5 = 20 km/h.
Correct Answer:
C
— 20 km/h
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Q. A boat can travel at a speed of 8 km/h in still water. If it takes 4 hours to travel upstream, how far can it go if the current is 2 km/h?
A.
16 km
B.
20 km
C.
24 km
D.
32 km
Show solution
Solution
Speed upstream = Speed in still water - Speed of current = 8 km/h - 2 km/h = 6 km/h. Distance = Speed × Time = 6 km/h × 4 hours = 24 km.
Correct Answer:
C
— 24 km
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Q. A boat takes 10 hours to go 40 km upstream and 8 hours to return downstream. What is the speed of the stream?
A.
1 km/h
B.
2 km/h
C.
3 km/h
D.
4 km/h
Show solution
Solution
Speed upstream = 40 km / 10 h = 4 km/h. Speed downstream = 40 km / 8 h = 5 km/h. Let speed of boat = x, then x - s = 4 and x + s = 5. Solving gives s = 1 km/h.
Correct Answer:
B
— 2 km/h
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Q. A boat takes 2 hours to go 20 km downstream and returns in 4 hours. What is the speed of the stream?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
Show solution
Solution
Speed downstream = 20 / 2 = 10 km/h. Speed upstream = 20 / 4 = 5 km/h. Speed of stream = (10 - 5) / 2 = 2.5 km/h.
Correct Answer:
A
— 2 km/h
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Q. A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
12 km/h
C.
14 km/h
D.
16 km/h
Show solution
Solution
Speed downstream = Distance / Time = 24 / 2 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 2 = 10 km/h.
Correct Answer:
B
— 12 km/h
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Q. A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed downstream = Distance / Time = 24 / 2 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 4 = 8 km/h.
Correct Answer:
B
— 10 km/h
Learn More →
Q. A boat takes 3 hours to go 36 km upstream. If the speed of the current is 3 km/h, what is the speed of the boat in still water?
A.
9 km/h
B.
12 km/h
C.
15 km/h
D.
18 km/h
Show solution
Solution
Speed upstream = Distance/Time = 36 km / 3 hours = 12 km/h. Speed in still water = Speed upstream + Speed of current = 12 km/h + 3 km/h = 15 km/h.
Correct Answer:
B
— 12 km/h
Learn More →
Q. A boat takes 4 hours to go 40 km upstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed upstream = Distance / Time = 40 / 4 = 10 km/h. Speed of boat = Speed upstream + Speed of stream = 10 + 2 = 12 km/h.
Correct Answer:
B
— 10 km/h
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