Quantitative Aptitude Ques 1874

Question: In a river, the ratio of the speed of stream and speed of a boat in still water is 2 : 5, Again, ratio of the speed of stream and speed of an another boat in still water is 3 : 4. What is the ratio of the speeds of the first boat to the second boat in still water?

Options:

A) 10 : 7

B) 15 ; 8

C) 4 : 3

D) 5 : 4

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • For the first boat, Speed of stream: Speed of boat = 2: 5 Let speed of stream be2 x km/h and speed of boat be 5x km/h. Similarly, for the second boat Speed of stream: Speed of boat = 3: 4 Let speed of stream be 3y km/h and speed of boat be 4y. In both of the conditions, river is same

$ \therefore $ $ 2x=3y $
$ \Rightarrow $ $ x=\frac{3}{2}y $ Thus, required ratio in speeds of boats in still water $ =5x:4y=5\times \frac{3}{2}y:4y=15:8 $