Quantitative Aptitude Ques 210

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 $