Questions on Boats and Streams Practice Test Sample Paper - 1 with Answer Key and Solution [Quantitative Aptitude]- Download in PDF

Here is solved questions of problems on Boats and Streams [quantitative aptitude] for SBI PO and IBPS exams. Boats and stream related questions are asked in almost all entrance examinations and candidates need to practice this section very hard to score good marks and hence good position in merit list. You can also download this question paper in PDF to save it for future references or take print out.

 

Boats and Streams [Quantitative Aptitude] Model Test Paper - 1

 

Maximum Marks: 10     /      Duration: 10 Mins

Q.1. A boy can row upstream 6 km/hr and downstream at 12 km/hr. Find the difference of boys speed in still water and speed of stream.

A) 9
B) 3
C) 6
D) 2
E) None of these

Explanation (Show/Hide)

Given: Boy's speed in upstream = 6 km/hr
Boy's speed in downstream = 12 km/hr
Boy's speed in still water = (6 + 12)/2 = 9 km/hr
Speed of stream = (12 - 6)/2 = 3 km/hr
Difference = 9 - 3 = 6 km/hr

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Q.2. If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is:

A) 4.2 km/hr
B) 9 km/hr
C) 13 km/hr
D) 21 km/hr
E) None of these

Explanation (Show/Hide)

Speed of boat upstream = 7 / (42/60) = 10 km/hr
Speed of stream = 3 km/hr
Speed of boat in still water = 10 + 3 = 13 km/hr.

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Q.3. A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours
E) None of these

Explanation (Show/Hide)

Speed of boat downstream = 13 + 4 = 17 km/hr
Time = 68 / 17 = 4 hours.

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Q.4. A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:

A) 8.5 km/hr
B) 10 km/hr
C) 9 km/hr
D) 12.5 km/hr
E) None of these

Explanation (Show/Hide)

Let man's speed in current water = U
Speed of stream = V = 2.5 km/hr
Given: U + V = 15
U = 15 - 2.5 = 12.5
Speed against current = 12.5 - 2.5 = 10 km/hr

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Q.5. A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hour. What is the speed of the boat in still water?

A) 4 km/hr
B) 6 km/hr
C) 8 km/hr
D) Data inadequate
E) None of these

Explanation (Show/Hide)

Speed of boat downstream = 16/2 = 8 km/hr
Speed of boat downstream = 16/4 = 4 km/hr
Speed of boat in still water = (8 + 4)/2 = 6 km/hr

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Q.6. A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

A) 3 : 1
B) 2 : 1
C) 3 : 2
D) 4 : 3
E) None of these

Explanation (Show/Hide)

Speed of stream = V, Speed of boat in still water = U
Let the time taken to row in favor of stream = T
Distance = (U + V) * T..............eq1
Time taken to row against stream = 2T
Distance = (U - V) * 2T..............eq2
From eq1 and eq2
(U + V) * T = (U - V) * 2T
=> U/V = 3/1

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Q.7. A man can row at 5 km/hr in still water. If the velocity of current is 1 km/hr and it takes him 1 hour to row to a place and come back, how far is the place?

A) 2.4 km
B) 2.5 km
C) 3 km
D) 3.6 km
E) None of these

Explanation (Show/Hide)

Let the time taken to row upstream = T1 and downstream = T2
Distance = D
T1 = D/(5-1) = D/4
T2 = D/(5+1) = D/6
T1 + T2 = 1 = D/4 + D/6
=> D = 2.4 km.

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Q.8. A boat takes 90 minutes less to travel 36 km downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 kmph, the sped of the stream is:

A) 4 kmph
B) 2.5 kmph
C) 3 kmph
D) 2 kmph
E) None of these

Explanation (Show/Hide)

Given: speed of boat in still water = U = 10kmph, Distance = 36 km
Let speed of stream = V kmph
Time taken to travel upstream = T, time taken to travel downstream = T - 90/60
While traveling upstream: T = 36/(10 - V)
While traveling downstream: T - 90/60 = 36/(10 + V)
=> 36/(10-V) = 36/(10+V) + 90/60
V = 2 kmph.

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Q.9. A boat goes 40 km upstream in 8 hours and 36 km downstream in 6 hours. The speed of the boat in standing water is :

A) 6.5
B) 6
C) 5.5
D) 5
E) None of these

Explanation (Show/Hide)

S1 = speed of boat upstream = 40/8 = 5 kmph
S2 = speed of boat downstream = 36/6 = 6 km/hr
Speed of boat in standing water = (S1 + S2)/2 = 11/2 = 5.5

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Q.10. A man can row 9 km/hr in still water and he finds that it takes him thrice as much time to row up than as to row down the same distance in river. The speed of the current is :

A) 1 kmph
B) 2.5 kmph
C) 4 kmph
D) 4.5 kmph
E) None of these

Explanation (Show/Hide)

Speed of man = U = 9 km/hr
Speed of current = V km/hr
Time to row downstream = T, time to row upstream = 3T
T = D/(U + V) = D/(9 + V)............eq1
3T = D/(U - V) = D/(9 - V)............eq2
From eq1 and eq2
3 * {D/(9 + V)} = D/(9-V)
=> V = 4.5 kmph

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