Question: 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?
Options:
A) 43.2 km
B) 48 km
C) 41.6 km
D) 44.8 km
E) 40 km
Show Answer
Answer:
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 $