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
  A.  3
  B.  5
  C.  8
  D.  9
Solution
Speed in still water= 1/2(11+5) km/hr
= 8 km/hr.
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
  A.  2
  B.  3
  C.  4
  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.

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
  A.  4.25 kmnph
  B.  6 kmph
  C.  6.5 kmph
  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.
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
  A.  16 hours
  B.  18 hours
  C.  20 hours
  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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