DIRECTIONS : Problems based on Boats and Streams.
DIRECTIONS : Problems based on boats and streams.
10. |
In one hour, a boat goes 11 km along the stream and 5 km against the stream. The speed of the boat in still water in ( km/hr) is |
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A. 3 |
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B. 5 |
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C. 8 |
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D. 9 |
Solution |
Speed in still water | = 1/2(11+5) km/hr |
= 8 km/hr. |
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11. |
A man can row three - quarters of a kilometer against the stream in 11¼minutes. The speed(in km/hr) of the man in still water is |
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A. 2 |
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B. 3 |
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C. 4 |
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D. 5 |
Solution |
Rate upstream | = (750 / 675)m/sec |
= (10 / 9) m/ sec. |
Rate downstream | = (750 / 450) |
=(5 / 3) m/sec |
Rate in still water | = 1/2(10 /9 + 5/3) |
= (25/18x18/5)km/hr |
= 5 km/hr. |
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12. |
If a man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph, then the man’s rate along the current is |
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A. 4.25 kmnph |
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B. 6 kmph |
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C. 6.5 kmph |
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D. 8.5 kmph |
Solution |
Let the rate along the current be x kmph. Then, | = (1 / 2(x+3.5))= 5 |
x= 6.5 kmph. |
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13. |
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1. 5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is |
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A. 16 hours |
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B. 18 hours |
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C. 20 hours |
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D. 24 hours |
Solution |
Speed upsteram | = 7.5 kmph. |
Speed downsteram | = 10.5 kmph. |
Total time taken | =[10.5/7.5 + 105/10.5]hours |
= 24 hours. |
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