Question: A boat moves downstream at the rate of 1 km in $ 7\frac{1}{2}\min $ and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?
Options:
A) $ 3\frac{1}{2}km/h $
B) 8 km/h
C) $ 6\frac{1}{2}km/h $
D) 4 km/h
Show Answer
Answer:
Correct Answer: C
Solution:
- Speed of downstream $ =\frac{60}{7.5}\times 1=8,km/h $
Speed of upstream = 5 km / h
$ \therefore $ Speed of boat in still water
$ =\frac{8+5}{2}=\frac{13}{2}=6\frac{1}{2}km/h $