Arithmatical - Boat’s and Streams
DIRECTIONS : Problems based on Boats and Streams.
1. |
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? |
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A. 2 hours |
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B. 3 hours |
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C. 4 hours |
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D. 5 hours |
Solution |
Speed Downstream | = (13 + 4) km/hr |
= 17 km/hr. |
Time taken to travel 68 km downstream | =(68 / 17)hrs |
= 4 hrs. |
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2. |
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 |
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A. 1.2 km |
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B. 1.8 km |
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C. 2.4 km |
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D. 3.6 km |
Solution |
Speed Downstream | = (15 + 3) km/hr |
= 18 km/hr. |
Distance travelled | =(18 x 12/60)hrs |
= 3.6km. |
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3. |
A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ? |
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A. 160 km |
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B. 180 km |
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C. 200 km |
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D. 220 km |
Solution |
Speed Downstream | = (14 + 4) km/hr |
= 18 km/hr. |
Speed upstream | =(14 - 4) km/hr |
= 10 km/hr.. |
Let the distance b/w A and B be xkm.Then |
=(x/18+ x/2 / 10) |
= 19 |
= 19x / 180 = 19 |
x= 180. |
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4. |
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? |
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A. 4 km/hr |
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B. 6 km/hr |
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C. 8 km/hr |
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D. Data inadequate |
Solution |
Rate Downstream | = (16 / 2) kmph |
= 8 kmph |
Rate upstream | =(16 / 4) kmph |
= 4 kmph. |
Speed in still water | = 1 / 2 (8 + 4)kmph |
= 1/2 x 12 |
= 6 kmph. |
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5. |
A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is |
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A. 2.5 km/hr |
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B. 4.2 km/hr |
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C. 5 km/hr |
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D. 10.5 km/hr |
Solution |
Speed of stream | = 1 / 2 (13 - 8 )kmph |
= 1/2 x 5 |
=5 /2 |
= 2.5 |
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