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1) A motorboat, whose speed in 20 km/hr in still water goes 20 km downstream and comes back in a total of 2 hours 20 mins . The speed of the stream (in km/hr) is:A) 7 B) 6 C) 5 D) 10
Answer & Explanation
Answer: 10 (Let the speed of the stream be x km/hr. Then,
Speed downstream = (20 + x) km/hr,
Speed upstream = (20 - x) km/hr.
(20/(20 + x)) + (20/(20 - x)) = 8/3
800/(400 - x2) = 8/3
x = 10 km/hr.
)
2) A man takes thrice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:A) 2:1 B) 1:4 C) 3:1 D) 1:2
Answer & Explanation
Answer: 2:1 (Let man's rate upstream be x kmph.
Then, his rate downstream = 3x kmph.
(Speed in still water) : (Speed of stream) = (3x + x)/2 : (3x - x)/2 = 4x : 2x = 2 : 1.
)
3) A man rows to a place 48 km distant and comes back in 21 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
A) 1/5
B) 1/2 C) 2/3 D) 1/4
Answer & Explanation
Answer: 2/3 (Suppose he rows 4 km downstream in x hours. Then,
Speed downstream = 4/x km/hr.
Speed upstream = 3/x km/hr.
48/(4/x) + 48/(3/x) = 21 or x = 3/4 .
So, Speed downstream = 16/3 km/hr, Speed upstream = 4 km/hr.
Rate of the stream = 1/2* (16/3 - 4) km/hr = 2/3 km/hr.
)
4) A boat running downstream covers a distance of 16 km in 1 hour while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
A) 9 B) 10 C) 7 D) 8
Answer & Explanation
Answer: 10 (Rate downstream = 16 kmph
Rate upstream = 16/4 kmph = 4 kmph.
Speed in still water = 1/2 * (16 + 4) kmph = 10 kmph.
)
5) 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:
A) 24 hrs B) 15 hrs C) 22 hrs D) 20 hrs
Answer & Explanation
Answer: 24 hrs (Speed upstream = 7.5 kmph.
Speed downstream = 10.5 kmph.
Total time taken = 105/7.5 + 105/10.5 hours = 24 hours.)
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