A) 2 km/h
B) 2.5 km/h
C) 3.2 km/h
D) None of these
Correct Answer: D
Solution :
| Let the speed of the stream = x km/h |
| Speed of boat in still water =10 km/h |
| Speed of boat downstream =\[(x+10)\] km/h |
| Speed of boat upstream = \[(10-x)\]km/h |
| \[\therefore \]Time taken to travel 26 km downstream\[=\frac{26}{10+x}h\] |
| Time taken to travel 14 km upstream \[\frac{14}{10-x}h\] |
| By condition, \[\frac{26}{10+x}=\frac{14}{10-x}\] |
| \[\Rightarrow \] \[26\,\,(10-x)=14\,\,(10+x)\] |
| \[\Rightarrow \] \[260-26x=140+14x\] |
| \[\Rightarrow \] \[40x=120\] |
| \[x=3\] |
| Here, speed of stream = 3 km/h |
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