Question: A sailor sails a distance of 48 km along the flow of a river in 8 h. If it takes 12 h to return the same distance, then the speed of the flow of the river is
Options:
A) 0.5 km/h
B) 5 km/h
C) 1.5 km/h
D) 2 km/h
Show Answer
Answer:
Correct Answer: B
Solution:
- Let speed of the flow of river be $ xkm/h $ and rate of sailing of sailer be $ ykm/h. $
Downstream speed $ (x+y)=\frac{48}{8} $
$ \Rightarrow $ $ (x+y)=6 $
(i)
and upstream speed $ (x-y)=\frac{48}{12} $
$ \Rightarrow $ $ x-y=4 $ … (ii)
On solving Eqs. (i) and (il), we get
$ x=5km/h $