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 $