Question : Sanjana can row a boat at 9 km/hr in the still water. It takes her twice as long to row up a certain distance as to row down the same distance in the river. What is the rate of the stream (in km/hr)?
Option 1: 4
Option 2: 1
Option 3: 3
Option 4: 2
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Correct Answer: 3
Solution : Let the speed of the stream be $x$ km/hr. Speed of boat in still water = 9 km/hr Let the distance be $d$. According to the question, $2×\frac{d}{9+x}=\frac{d}{9-x}$ ⇒ $18-2x=9+x$ ⇒ $3x=9$ ⇒ $x=3$ km/hr Hence, the correct answer is 3.
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Question : Ankit went to Manali, for river rafting. He rows at the rate of 12 km/h in still water. To cover the same distance, it takes him twice as long to row up as to row down the river. Find the rate of flow of the river.
Option 1: 6 km/h
Option 2: 4 km/h
Option 3: 8 km/h
Option 4: 2 km/h
Question : A boat takes 11 hours to travel a distance upstream and takes 5 hours to travel the same distance downstream. If the speed of the boat in still water is $2 \frac{2}{9}$ m/s, then the speed of the stream (in km/hr) is:
Option 1: 2
Option 2: 3
Option 3: 1
Option 4: 4
Question : Speed of stream is 4 km/hr and the speed of boat is 11 km/hr. In how much time will the boat cover a distance of 21 km upstream and 45 km downstream?
Option 1: 6 hours
Option 2: 3 hours
Option 3: 4 hours
Option 4: 7 hours
Question : A boat can move upstream at 25 km/hr and downstream at 35 km/hr. What is the speed of the current?
Option 1: 10 km/hr
Option 2: 15 km/hr
Option 3: 5 km/hr
Option 4: 22.5 km/hr
Question : In one hour, a boat goes 12 km along the stream and 8 km against the stream. What is the speed of the boat in still water (in km/hr)?
Option 1: 8
Option 2: 12
Option 3: 10
Option 4: 9
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