Boats and Streams
Boats and Streams - Important Points
| 6. | A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place ? |
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A. 2.4 km
B. 2.5 km
C. 3 km
D. 3.6 km
View Answer Discuss Work SpaceAnswer: option a
Explanation:
Let the speed of a boat in still water is x km/hr and the speed of the stream is y km/hr,
then:
Speed downstream = (x+y) km/hr.
Speed upstream = (x-y) km/hr.
Speed downstream = (5 + 1) kmph = 6 kmph.
Speed upstream = (5 - 1) kmph = 4 kmph.
Let the required distance be x km.
Distance / Speed = Time
Given, Time for (downstream + upstream) = 1 hour
Then, x / 6 + x / 4 = 1
=> 2x + 3x = 12
=> 5x = 12
=> x = 2.4 km
Thus, the required distance = 2.4 km
| 7. | A boat takes 90 minutes less to travel 24 km downstream than to travel the same distance upstream. If the speed of the boat in still water is 12 km/h, the speed of the stream is: |
|---|
A. 4 km/h
B. 5 km/h
C. 6 km/h
D. Can't be determined
View Answer Discuss Work SpaceAnswer: option a
Explanation:
Let the speed of the stream be x km/h.
Given, Speed of Boat = 12 km/h
Then, Speed downstream = speed of Boat + Speed of Stream
= (12 + x) km/h,
Speed upstream = speed of Boat - Speed of Stream
= (12 - x) km/h
Given, Upstream Time - Downstream Time = 90 mins
Since, Time = Distance / Speed
So, [Upstream Distance / Upstream Speed] - [Downstream Distance / Downstream Speed] = 90 mins
=> [24 / ( 12 - x)] - [24 / (12 + x )] = 90 / 60
=> 24 (12 + x -12 + x) / (12² - x²) = 3/2
=> 24 (2x )/ (144 - x²) = 3/2
=> x / (144 - x²) = 1/32
=> x² + 32x - 144 = 0
=> (x+ 36)(x - 4) = 0
=> x = 4 km/h
Therefore, speed of the stream = 4 km/h
| 8. | The speed of a boat in still water is 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
View Answer Discuss Work SpaceAnswer: option d
Explanation:
Speed downstream = (15 + 3) kmph = 18 kmph.
Distance travelled = ( 18 x 12 / 60 ) km = 3.6 km.
| 9. | 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
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Rate downstream = (16 / 2 ) kmph = 8 kmph
Rate upstream = (16/4) kmph = 4 kmph
Speed in still water = 1/2 (8 + 4 ) kmph = 6 kmph
| 10. | 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: |
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A. 3 km/hr
B. 5 km/hr
C. 8 km/hr
D. 9 km/hr
View Answer Discuss Work SpaceAnswer: option c
Explanation:
Speed in still water = (1/2) * ( 11 + 5) kmph = 8 kmph.
Boats and Streams Questions and Answers FAQ
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