Question: Sameer can row a certain distance downstream in 24 h and can come back covering the same distance in 36 h. If the stream flows at the rate of 12 km/h. Find the speed of Sameer in still water.
Options:
A) 30 km/h
B) 15 km/h
C) 40 km/h
D) 60 km/h
E) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
- Let the speed of Sameer in still water be x km/h,
Sameer’s speed downstream $ =(x+2)km/h $
Sameer’s speed upstream $ =(x-12)km/h $
According to the question,
$ 24(x+12)=36(x-12) $
$ \Rightarrow $ $ 2x+24=3x-36 $
$ \Rightarrow $ $ x=36+24=60km/h $
Alternate Method
Here, $ x=24h, $ $ y=36h, $
Rate of stream $ =12km/h $
According to the formula,
Speed of Sameer in still water $ =\frac{a(x+y)}{(y-x)} $
$ =\frac{12\times (24+36)}{(36-24)}=\frac{60\times 12}{12}=60km/h $