Question : A boat covers 35 km downstream in 2 h and covers the same distance upstream in 7 h. Find the speed (in km/h) of the boat in still water.
Option 1: 11.25
Option 2: 28.75
Option 3: 18.25
Option 4: 10.55
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Correct Answer: 11.25
Solution : A boat covers 35 km downstream in 2 h and covers the same distance upstream in 7 h. Let the speed of the boat in still water be $x\ \text{km/h}$. Let the speed of the stream be $y\ \text{km/h}$. According to the question, Speed of boat in downstream = $x+y=\frac{35}{2}$ = 17.5 Speed of boat in upstream = $x-y=\frac{35}{7}$ = 5 Adding the two equations, $2x= 17.5 + 5$ ⇒ $x=11.25$ Hence, the correct answer is 11.25.
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Question : A boat goes 4 km upstream and 4 km downstream in an hour. The same boat goes 5 km downstream and 3 km upstream in 55 minutes. What is the speed (in km/hr) of the boat in still water?
Question : A boat covers a distance of 80 km downstream in 8 hours, while it takes 10 hours to cover the same distance upstream. What is the speed (in km/hr) of the boat in still water?
Question : A boat covers 12 km upstream and 18 km downstream in 3 hours, while it covers 36 km upstream and 24 km downstream in $6\frac{1}{2}$ hours. What is the speed of the current?
Question : A boat can cover 120 km upstream and back in a total of 30 hours, and 25 km upstream and 40 km downstream in a total of 7 hours. How much distance will the boat cover in 16 hours in still water?
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