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Boat and Stream

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Q 1. A man rows a boat 18 kilometres in 4 hours downstream and returns upstream in 12 hours. The speed of the stream (in {tex} \mathrm { km } {/tex} per hour) is:

A

1

1.5

C

2

D

1.75

Explanation

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Q 2. A motorboat in still water travels at a speed of {tex} 36 \mathrm { kmph } {/tex}. It goes {tex} 56 \mathrm { km } {/tex} upstream in 1 hour 45 minutes. The time taken by it to cover the same distance down the stream will be:

A

2 hours 25 minutes

B

3 hours

1 hour 24 minutes

D

2 hours 21 minutes

Explanation



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Q 3. A boat running downstream covers a distance of {tex} 20 \mathrm { km } {/tex} in 2 hrs while it covers the same distance upstream in 5 hrs. Then speed of the boat in still water is

{tex} 7 \mathrm { km } / \mathrm { hr } {/tex}

B

{tex} 8 \mathrm { km } / \mathrm { hr } {/tex}

C

{tex} 9 \mathrm { km } / \mathrm { hr } {/tex}

D

{tex} 10 \mathrm { km } / \mathrm { hr } {/tex}

Explanation

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Q 4. A boatman rows {tex} 1 \mathrm { km } {/tex} in 5 minutes, along the stream and {tex} 6 \mathrm { km } {/tex} in 1 hour against the stream. The speed of the stream is

{tex} 3 \mathrm { kmph } {/tex}

B

{tex} 6 \mathrm { kmph } {/tex}

C

{tex} 10 \mathrm { kmph } {/tex}

D

{tex} 12 \mathrm { kmph } {/tex}

Explanation

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Q 5. A boat covers {tex} 24 \mathrm { km } {/tex} upstream and {tex} 36 \mathrm { km } {/tex} downstream in 6 hours, while it covers {tex} 36 \mathrm { km } {/tex} upstream and {tex} 24 \mathrm { km } {/tex} downstream in {tex} 6 \frac { 1 } { 2 } {/tex} hours. The speed of the current is

A

{tex} 1 \mathrm { km } / \mathrm { hr } {/tex}

{tex} 2 \mathrm { km } / \mathrm { hr } {/tex}

C

{tex} 1.5 \mathrm { km } / \mathrm { hr } {/tex}

D

{tex} 2.5 \mathrm { km } / \mathrm { hr } {/tex}

Explanation



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Q 6. The speed of a boat in still water is {tex} 10 \mathrm { km } / \mathrm { hr } {/tex}. It covers (upstream) a distance of {tex} 45 \mathrm { km } {/tex} in 6 hours. The speed (in {tex} \mathrm { km } / \mathrm { hr } ) {/tex} of the stream is

2.5

B

3

C

3.5

D

4

Explanation



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Q 7. A man rows {tex} 40 \mathrm { km } {/tex} upstream in 8 hours and a distance of 36 {tex} \mathrm { km } {/tex} downstream in 6 hours. Then speed of stream is

{tex} 0.5 \mathrm { km } / \mathrm { hr } {/tex}

B

{tex} 1.5 \mathrm { km } / \mathrm { hr } {/tex}

C

{tex} 1 \mathrm { km } / \mathrm { hr } {/tex}

D

{tex} 3 \mathrm { km } / \mathrm { hr } {/tex}

Explanation

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Q 8. A boat travels {tex} 24 \mathrm { km } {/tex} upstream. in 6 hours and {tex} 20 \mathrm { km } {/tex} downstream in 4 hours. Then the the speed of boat in still water and the speed of water current are respectively

A

{tex} 4 \mathrm { kmph } {/tex} and {tex} 3 \mathrm { kmph } {/tex}

{tex} 4.5 \mathrm { kmph } {/tex} and {tex} 0.5 \mathrm { kmph } {/tex}

C

{tex} 4 \mathrm { kmph } {/tex} and {tex} 2 \mathrm { kmph } {/tex}

D

{tex} 5 \mathrm { kmph } {/tex} and {tex} 2 \mathrm { kmph } {/tex}

Explanation

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Q 9. If a boat goes {tex} 100 \mathrm { km } {/tex} downstream in 10 hours and {tex} 75 \mathrm { km } {/tex} upstream in 15 hours, then the speed of the stream is

A

{tex} 2 \mathrm { km } / \mathrm { hour } {/tex}

{tex} 2.5 \mathrm { km } / \mathrm { hour } {/tex}

C

{tex} 3 \mathrm { km } / \mathrm { hour } {/tex}

D

{tex} 3.5 \mathrm { km } / \mathrm { hour } {/tex}

Explanation



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Q 10. A boat covers {tex} 12 \mathrm { km } {/tex} upstream and {tex} 18 \mathrm { km } {/tex} downstream in 3 hours, while it covers {tex} 36 \mathrm { km } {/tex} upstream and {tex} 24 \mathrm { km } {/tex} downstream in {tex} 6 \frac { 1 } { 2 } {/tex} hours. What is the speed of the current?

A

1.5 {tex} \mathrm { km } / \mathrm { hr } {/tex}

B

1 {tex} \mathrm { km } / \mathrm { hr } {/tex}

2 {tex} \mathrm { km } / \mathrm { hr } {/tex}

D

2.5 {tex} \mathrm { km } / \mathrm { hr } {/tex}

Explanation

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Q 11. A boy can swim in still water at a speed of {tex} 10 \mathrm { km } / \mathrm { hr } {/tex}. If the speed of the current would have been {tex} 5 \mathrm { kmph } {/tex}, then the boy could swim {tex} 60 \mathrm { km } {/tex}

A

upstream in 4 hour

B

downstream in 12 hours

C

upstream in 6 hours

downstream in 4 hours

Explanation

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Q 12. A man can swim at the rate of 4 {tex} \mathrm { km } / \mathrm { hr } {/tex} in still water. If the speed of the water is {tex} 2 \mathrm { km } / \mathrm { hr } {/tex}, then the time taken by him to swim {tex} 10 \mathrm { km } {/tex} upstream is

A

{tex} 2 \frac { 1 } { 2 } \mathrm { hrs } {/tex}

B

{tex} 3 \frac { 1 } { 2 } \mathrm { hrs } {/tex}

5 hrs

D

4 hrs

Explanation

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Q 13. Speed of a boat along and against the current are 12 {tex}\mathrm { km } / \mathrm { hr } {/tex} and 8 {tex} \mathrm { km } / \mathrm { hr } {/tex} respectively. Then the speed of the current in {tex} \mathrm { km } / \mathrm { hr } {/tex} is

A

5

B

4

C

3

2

Explanation

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Q 14. A man can swim 3 {tex}\mathrm { km } / \mathrm { hr } {/tex}. in still water. If the velocity of the stream is 2 {tex} \mathrm { km } / \mathrm { hr } {/tex}, the time taken by him to swim to a place 10 {tex} \mathrm { km } {/tex} upstream and back is :

A

{tex} 9 \frac { 1 } { 3 } \mathrm { hr } {/tex}

B

{tex} 10 \mathrm { hr } {/tex}

{tex} 12 \mathrm { hr } {/tex}

D

{tex} 8 \frac { 1 } { 3 } \mathrm { hr } {/tex}

Explanation

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Q 15. A swimmer swims from a point {tex} A {/tex} against a current for 5 minutes and then swims backwards in favour of the current for next 5 minutes and comes to the point B. If {tex} A B {/tex} is 100 metres, the speed of the current (in km per hour) is :

A

0.4

B

0.2

C

1

0.6

Explanation

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Q 16. A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream?

{tex} 4.5 \mathrm { km } / \mathrm { h } {/tex}

B

{tex} 4 \mathrm { km } / \mathrm { h } {/tex}

C

{tex} 9 \mathrm { km } / \mathrm { h } {/tex}

D

{tex} 5.6 \mathrm { km } / \mathrm { h } {/tex}

Explanation



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Q 17. A boat goes {tex} 20 \mathrm { km } {/tex} downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is

{tex} 15 \mathrm { km } / \mathrm { hr } {/tex}

B

{tex} 10 \mathrm { km } / \mathrm { hr } {/tex}

C

{tex} 5 \mathrm { km } / \mathrm { hr } {/tex}

D

{tex} 7.5 \mathrm { km } / \mathrm { hr } {/tex}

Explanation

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Q 18. A man rows {tex} 750 \mathrm { m } {/tex} in 675 seconds against the stream and returns in {tex} 7 \frac { 1 } { 2 } {/tex} minutes. Find his rowing speed in still water.

A

{tex} 3 \mathrm { kmph } {/tex}

B

{tex} 4 \mathrm { kmph } {/tex}

{tex} 5 \mathrm { kmph } {/tex}

D

{tex} 6 \mathrm { kmph } {/tex}

Explanation

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Q 19. A boat goes 40 {tex}\mathrm { km } {/tex} upstream in 8 hours and 36 {tex} \mathrm { km } {/tex} downstream in 6 hours. The speed of the boat in still water is :

A

{tex} 6.5 \mathrm { km } / \mathrm { hour } {/tex}

{tex} 5.5 \mathrm { km } / \mathrm { hour } {/tex}

C

{tex} 6 \mathrm { km } / \mathrm { hour } {/tex}

D

{tex} 5 \mathrm { km } / \mathrm { hour } {/tex}

Explanation

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Q 20. A boat goes {tex} 12 \mathrm { km } {/tex} downstream and comes back to the starting point in 3 hours. If the speed of the current is {tex} 3 \mathrm { km } / \mathrm { hr } {/tex}, then the speed (in {tex} \mathrm { km } / \mathrm { hr } ) {/tex} of the boat in still water is

A

12

9

C

{tex} 8 {/tex}

D

6

Explanation



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Q 21. The speed of the current is 5 {tex} \mathrm { km } / \mathrm { hour. } {/tex} A motorboat goes 10 {tex} \mathrm { km } {/tex} upstream and back again to the starting point in 50 {tex}\mathrm { minutes. } {/tex} The speed (in {tex} \mathrm { km } / \mathrm { hour } {/tex} ) of the motorboat in still water is

A

20

B

26

25

D

28

Explanation

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Q 22. A man can row {tex} 15 \mathrm { km } / \mathrm { hr } {/tex} downstream and {tex} 9 \mathrm { km } / \mathrm { hr } {/tex} upstream. The speed of the boat in still water is

A

{tex} 8 \mathrm { km } / \mathrm { hr } {/tex}

B

{tex} 10 \mathrm { km } / \mathrm { hr } {/tex}

C

{tex} 15 \mathrm { km } / \mathrm { hr } {/tex}

{tex} 12 \mathrm { km } / \mathrm { hr } {/tex}

Explanation

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Q 23. A sailor goes {tex} 12 \mathrm { km } {/tex} downstream in 48 minutes and returns in 1 hour 20 minutes. The speed of the sailor in still water is:

{tex} 12 \mathrm { km } / \mathrm { hr } {/tex}

B

{tex} 12.5 \mathrm { km } / \mathrm { hr } {/tex}

C

{tex} 13 \mathrm { km } / \mathrm { hr } {/tex}

D

{tex} 15 \mathrm { km } / \mathrm { hr } {/tex}

Explanation



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Q 24. The current of a stream runs at the rate of 4 {tex}\mathrm { km } {/tex} an hour. A boat goes 6 {tex} \mathrm { km } {/tex} and comes back to the starting point in 2 hours. The speed of the boat in still water is

A

{tex} 6 \mathrm { km } / \mathrm { hour } {/tex}

{tex} 8 \mathrm { km } / \mathrm { hour } {/tex}

C

{tex} 7.5 \mathrm { km } / \mathrm { hour } {/tex}

D

{tex} 6.8 \mathrm { km } / \mathrm { hour } {/tex}

Explanation

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Q 25. A man swims downstream a distance of {tex} 15 \mathrm { km } {/tex} in 1 hour. If the speed of the current is {tex} 5 \mathrm { km } / {/tex} hour, the time taken by the man to swim the same distance upstream is

A

1 hour 30 minutes

B

45 minutes

C

2 hours 30 minutes

3 hours

Explanation