Boats and Streams Questions PDF for SSC, Railways and Banking Exams

Quant Booster Dose – Boats and Streams Questions PDF

Boats and Streams Question PDF with Answers for government exams like SSC, Railways, Banking, FCI, CWC, Insurance Exams, UPSC, and other state PCS exams. As we all know in many competitive exams in Quantitative Aptitude/ Numerical Ability subject Boats and Streams Questions asked repeatedly, so you cannot ignore the Boats and Streams Questions PDF.

As questions are based on previous year papers, there are chances that candidates will find many questions from the Boats and Streams Questions with Answers PDF in all competitive Exams. If you check the last 4-5 year’s papers of SSC, Railways and Banking Exams, you will find that many different types of Boats and Streams questions are asked. Today we have compiled “50+ Boats and Streams Questions PDF with Answers for SSC, Railway & Banking Exam”. You can download Free Boats and Streams Questions with Solution so that you get all the important questions at one place. And it will become very easy for you guys to revise them.

Boats and Streams Questions PDF for SSC, Railways and Banking Exams

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What is Boats and Streams Questions?

There is a wide range of concepts about boats and streams problems. Some of the major concepts related to boats and streams are mentioned below:

  1. Stream – A stream is used to refer to running river water.
  2. Upstream – When the boat rows or moves in the opposite direction of the flow of the stream, it is said to be moving upstream. The boat’s net speed, in this case, is upstream speed.
  3. Downstream – When the boat rows or moves along the direction of the flow of the stream, it is said to be moving downstream. The boat’s net speed, in this case, is downstream speed.
  4. Still Water – Still water is the assumption of water being still or stationary. This happens when the speed of the water is zero.

Important Boats and Streams Topics

  • Stream – The stream is the moving water in a river-like water body.
  • Still Water – As the name suggests, this is when the speed of the stream is zero, and water is considered to be stationary.
  • Upstream – When the boat is flowing in the opposite direction of the stream, it is called upstream. Upstream speed = (u-v) km/hr (where “u” is the speed of the boat in still water, and “v” is the speed of stream).
  • Downstream – When the boat is flowing along the direction of the stream, it is called downstream.
  • Downstream speed = (u+v) km/hr
  • Average Speed of the Boat – Calculate the Upstream Speed (U) and the Downstream Speed (D). Multiply them and divide them by still water.
  • Speed of Man in Still Water – If you know that the boat has travelled a distance downstream in “t1” hours and time “t2” is taken to return the same distance. If “v” is the speed of the stream, then the speed of man in still water is [v x {(t2 + t1)/(t2-t1)}] km/hr.
  • Distance Travelled by Boat – If “u” is the speed of the boat in still water and “v” is the speed of the stream, then the distance would be the difference of squares of the two; multiply it by the time given and divide the result by 2v or 2u, as required.

Formulas for Upstream and Downstream Problems

Below are the important formulas for the various boats and streams concepts. To calculate,

  • Upstream = (u−v) km/hr
  • Boat’s speed in still water = ½ (Downstream Speed + Upstream Speed)
  • Downstream = (u+v)Km/hr
  • Boat’s average speed = {(Upstream Speed x Upstream Speed)/Boat’s Speed in Still Water}
  • Stream’s Speed = ½ (Downstream Speed – Upstream Speed)
  • Boat’s Speed (Still Water) = ½ (Downstream Speed + Upstream Speed)
  • Distance (X) between two points, when the time taken to come back to the starting point is ‘t’ = {(u2-v2) x t } / 2u.
  • Distance (X) between two points situated upstream and downstream when the time taken to cover going back and forth is ‘t’ = {(u2-v2) × t} / 2v.

Tips & Tricks to solve the Boats and Streams

Some important tricks and tips for solving boats and streams questions are:

  • The first step to solving the boats and streams problems is to thoroughly read the question with a calm mind. This helps understand the various terms behind the boats and stream concepts being applied.
  • If upstream and downstream are not mentioned, do not be confused. You should remember that motion opposite to the flow of the stream is upstream and motion along the flow of the stream is downstream.
  • Do not forget to memorise the formulas related to boat and stream problems. Regularly going through the formulas will help memorise them. Knowing the exact formula required for a particular question helps solve the question easily.
  • The last, but not the least, a tip is constant practice. You will be able to solve the questions easily if you have been in practice.

Boats and Streams Practice Questions with Answers

1. If sum of upstream and downstream speed of a boat is 82 kmph, and the boat travels 105 km. upstream in 3 hr, Find the time taken by boat to cover 141 km downstream.

(a) 5hrs

(b) 4hrs

(c) 2hrs

(d) 3hrs

(e) None of these

Show Correct Answers

Correct Answer:  (d) 3hrs

Explanation:  Speed of Upstream =u-v

Speed of Downstream = u+v

u-v+u+v=82

2u=82

u=41km/hr.

41 – v = 105/3 = 35

v = 6 km/hr

then,

u + v= 141/t

41 + 6 = 141/t

t = 141/47 = 3 hrs.

2 . A boatman goes 4 km against the current of the stream in 1 hour and goes 2 km along the current in 10 minutes. How long will it take to go 24 km in stationary water?

(a) 5hrs

(b) 3hrs

(c) 2hrs

(d) 6hrs

(e) None of these

Show Correct Answers

Correct Answer:  (b) 3hrs

Explanation:  Upstream=4/1=4km/hr

Downstream=2*60/10=12km/hr

Speed in still water=(12+4)/2

=16/2=8km/hr.

For 24 km time=24/8

=3hrs.

3. The speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return downstream to the original point in 4 hrs 30 min. The speed of the stream is:

(a) 12km/hr

(b) 8km/hr

(c) 5km/hr

(d) 10km/hr

(e) None of these

Show Correct Answers

Correct Answer:  (c) 5km/hr

Explanation:  D=t [(u2 – v2) /2u] 30 = 4 ½ *[(152 – v2) /2*15] 30=9/2 (225- v2)/30

200=225- v2

v2=25

v=5km/hr.

4. A man can row 40 kmph in still water and the river is running at 10 kmph. If the man takes 2 hr to row to a place and back, how far is the place?

(a) 38km

(b) 37.5km

(c) 40.75km

(d) 41km

(e) None of these

Show Correct Answers

Correct Answer:  (b) 37.5km

Explanation:  Given u=40 , v=10

D= t[(u2-v2)/2u]

=2*[(402-102)/2*40]

=2*(1600-100)/80

2*1500/80==>37.5km

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5. A man rows to a place 60 km distant and come back in 35 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. Find the speed in still water and in stream:

(a) 1.5, 2

(b) 0.5, 2.5

(c) 3.5, 0.5

(d) 2, 2.5

(e) None of these

Show Correct Answers

Correct Answer:  (c) 3.5, 0.5

Explanation:  If he moves 4 km downstream in x hours.

Downstream speed=4/x

Upstream speed=3/x

Then 60/(4/x) + 60/(3/x)=35

60[(3x+4x)/12]=35

60*7x/12=35

5*7x=35==> x=1km.

Then Downstream speed=4km/hr , Upstream speed=3km/hr

U=(4+3)/2=7/2=3.5km/hr

V=(4-3)/2=1/2=0.5km/hr

6. Speed of a boat in standing water is 12 kmph and the speed of the stream is 3 kmph. A man rows to a place at a distance of 6300 km and comes back to the starting point. The total time taken by him is:

(a) 1120hrs

(b) 1000hrs

(c) 980hrs

(d) 850hrs

(e) None of these

Show Correct Answers

Correct Answer:  (a) 1120hrs

Explanation:  Downstream speed = (12 + 3) = 15 km/hr

Upstream speed = (12 – 3) = 9 km/hr

Total time taken =6300/15+6300/9

=420+700==>1120hrs.

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7. A boat takes 26 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 km/hr and the speed of the boat in still water is 10 km/hr, what is the distance between A and B?

(a) 210km

(b) 185km

(c) 140km

(d) 168km

(e) None of these

Show Correct Answers

Correct Answer:  (d) 168km

Explanation:  Downstream speed = 10+4 = 14

Upstream speed = 10-4 = 6

Now total time is 26 hours

If distance between A and B is d, then distance BC = d/2

Now distance/speed = time, so

d/14 + (d/2)/6= 26

13d/84=26

Solve, d = 168 km

8. The time taken by the boat can travel 240 km distance along the stream is equal to the time taken by the boat can travel 144 km distance against the stream. The speed of the boat is 20 km/hr. Find the speed of the stream.

(a) 3 km/hr

(b) 2 km/hr

(c) 5 km/hr

(d) 4 km/hr

(e) None of these

Show Correct Answers

Correct Answer:  (c) 5 km/hr

Explanation:  Speed of the boat = 20 km/hr

Downstream distance = 240 km

Upstream distance = 144 km

Speed of the stream = y km/hr

240/(20 + y) = T —– (1)

144/(20 – y) = T —— (2)

Equate both the equation

240/(20 + y) = 144/(20 – y)

5/(20 + y) = 3/(20 – y)

60 – 3y = 100 + 5y

5y = 40

y = 5 km/hr

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9. The total time by the boat to cover 72 km upstream and 180 km downstream in 16 hours. The total time taken by the same boat to cover 108 km upstream and 126 downstream in 16 hours. If the sum of the upstream speed and downstream speed of the boat is 30 km, then find the speed of the stream.

(a) 2 kmph

(b) 5 kmph

(c) 3 kmph

(d) 4 kmph

(e) None of these

Show Correct Answers

Correct Answer:  (c) 3 kmph

Explanation:  Downstream speed = d kmph

Upstream = u kmph

72/u + 180/d = 16 …… (1)

108/u + 126/d = 16 …… (2)

Equate both the equation (1) and (2)

72/u + 180/d = 108/u + 126/d

54/d = 36/u

d/u = 54/36

d/u = 3/2

Downstream speed = 3/5 × 30 = 18 kmph

Upstream speed = 2/5 × 30 = 12 kmph

The speed of the stream = (18 – 12)/2 = 6/2 = 3 kmph

10. A boat covers 1200 km distance whose downstream speed is y kmph and the speed of the boat upstream is 60% of the speed of the boat downstream. If the difference between the time taken by the boat upstream and downstream is 32 hours. Find the distance covered by the boat in 5 hours if they traveled with the speed of still water.

(a) 110 km

(b) 150 km

(c) 100 km

(d) 130 km

(e) None of these

Show Correct Answers

Correct Answer:  (c) 100 km

Explanation:  Distance covered = 1200km

Downstream speed of the boat = y kmph

Upstream speed of the boat  = 60/100 ×  y = 0.6y

If the difference between the time taken by the boat to travel upstream and downstream is 32 hours

1200/0.6y – 1200/y = 32

2000/y – 1200/y = 32

800/y = 32

Downstream speed of the boat y = 25 kmph

Upstream speed of the boat y = 25 ×  (0.6) kmph = 15 kmph

Speed of the boat in still water = (25 + 15)/2 = 20 kmph

Distance covered by the boat in still water in 5 hours = 20 ×  5 = 100km

All the Average questions are formulated as per the level of Bank PO exams. The Average questions in this PDF has a moderate and hard level of difficulty. All the candidates who are preparing for banking exams are advised to practice all these important questions to score well in the exam. To remove any doubt or difficulty in any topic, go through the study notes of each topic from the links given above.

Why Quantitative Aptitude Boats and Streams Questions PDF is Important for Exams?

  • All the questions prepare by Exams experts.
  • The practice questions covered are across the levels i.e. Easy, Moderate, and Difficult.
  • Provides a detailed approach to the solution of each question.
  • Focuses on all the new patterns and advanced-level type questions.
  • Boats and Streams Questions PDF boosts confidence and reduces pre-exam jitters by regularly attempting a variety of questions and tackling the difficulty level expected in the final exam.

This Quant Booster Dose Boats and Streams Questions PDF is useful for the upcoming Banking and Insurance exams i.e. IBPS PO, SBI PO, Clerk, IBPS RRB PO & Clerk, RBI Assistant, RBI Grade B, NABARD, LIC AAO, SSC (CGL, CHSL, MTS, CPO, and Constable), Railway RRB (NTPC, Group D, JE, ALP) & Other Government Exams.

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Practice Set- 10 More…… Complete Quant Study Material

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8700+ Quantitative Aptitude Topic wise Questions and Answers – Download Free PDF

8700+ Quantitative Aptitude Topic wise Questions and Answers – Download Free PDF

Quant Booster Dose – Topic-wise Quantitative Aptitude Questions and Answers