| The speed of the boat in still water is 5 times the speed of the current. It takes 1.1 h to row to point B from point A downstream. The distance between point A and point B is 13.2 km. How much distance will it cover in 312 min upstream? |
A) 43.2 km
B) 48 km
C) 41.6 km
D) 44.8 km
E) 40 km
Correct Answer: C
Solution :
| Let the speed of current be x km/h. |
| Then, speed of boat in still water = 5x km/h |
| Speed of boat in downstream |
| \[=5x+x=6x\,km/h\] |
| Distance between A and B \[=6x\times 1.1.=6.6x\,km\] |
| Now, \[6.6x=13.2\] |
| \[\Rightarrow \] \[x=2\] \[\therefore \] Speed of current = 2 km/h |
| Speed of boat in still water \[=5\times 2=10\,km/h\] |
| Speed of boat in upstream \[=10-2=8\,km/h\] |
| Distance covered \[=8\times \frac{312}{60}=\frac{2\times 312}{15}\times 41.6\,km\] |
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