| A boat running at the speed of 34 km/h downstream covers a distance of 4.8 km in 8 min. The same boat while running upstream at same speed covers the same distance in 9 min. What is the speed of the current? |
A) 2.4 km/h
B) 3 km/h
C) 2 km/h
D) 3.2 km/h
E) None of these
Correct Answer: C
Solution :
| Let the speed of boat in still water be x km/h and that of current be y km/h. |
| \[\therefore \] \[x+y=\frac{4.8}{\frac{8}{60}}=\frac{4.8\times 60}{8}=36\] |
| and \[x-y=\frac{4.8}{\frac{9}{60}}=\frac{4.8\times 60}{9}=32\] |
| Solving for x and y, we get |
| \[\Rightarrow \] \[2x=68\] |
| \[\Rightarrow \] \[x=34\,km/h\] |
| and \[y=2\,km/h\] |
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