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Boats and Streams - General Questions (2)

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  • Boats and Streams - General Questions
9. 

The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:

A. 1.2 km
B. 1.8 km
C. 2.4 km
D. 3.6 km

Answer: Option D

Explanation:

Speed downstream = (15 + 3) kmph = 18 kmph.

Distance travelled = 1-sym-oparen-h1 18 x 12 1-sym-cparen-h1km = 3.6 km.
60
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10. 

A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. 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

Answer: Option B

Explanation:

Rate downstream = 1-sym-oparen-h1 16 1-sym-cparen-h1kmph = 8 kmph.
2
Rate upstream = 1-sym-oparen-h1 16 1-sym-cparen-h1kmph = 4 kmph.
4
 Speed in still water = 1 (8 + 4) kmph = 6 kmph.
2
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11. 

In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

A. 3 km/hr
B. 5 km/hr
C. 8 km/hr
D. 9 km/hr

Answer: Option C

Explanation:

Speed in still water =1/2(11 + 5) kmph = 8 kmph.

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12. 

A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:

A. 4
B. 5
C. 6
D. 10

Answer: Option B

Explanation:

Let the speed of the stream be x km/hr. Then,

Speed downstream = (15 + x) km/hr,

Speed upstream = (15 - x) km/hr.

30 + 30 = 4 1
(15 + x) (15 - x) 2
900 = 9
225 - x2 2

 9x2 = 225

 x2 = 25

 x = 5 km/hr.

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13. 

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

A. 2 : 1
B. 3 : 2
C. 8 : 3
D. Cannot be determined
E. None of these

Answer: Option C

Explanation:

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

1-sym-oparen-h1 x x 8 4 1-sym-cparen-h1 = (y x 4)
5
44 x =4y
5
 y = 11 x.
5
 Required ratio = 1-sym-oparen-h1 y + x 1-sym-cparen-h1 : 1-sym-oparen-h1 y - x 1-sym-cparen-h1
2 2
   = 1-sym-oparen-h1 16x x 1 : 1-sym-oparen-h1 6x x 1 1-sym-cparen-h1
5 2 5 2
   = 8 : 3
5 5

   = 8 : 3.

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14. 

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. 9 km/hr
C. 10 km/hr
D. 12.5 km/hr

Answer: Option C

Explanation:

Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.

Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.

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15. 

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

Answer: Option C

Explanation:

Speed downstream = (13 + 4) km/hr = 17 km/hr.

Time taken to travel 68 km downstream = 1-sym-oparen-h1 68 1-sym-cparen-h1hrs = 4 hrs.
17
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