Question : A boat travels 32 km downstream in 4 hours and 24 km upstream in 6 hours. What is the speed (in km/hr) of a boat in still water?
Option 1: 2
Option 2: 4
Option 3: 6
Option 4: 8
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Correct Answer: 6
Solution : Let $x$ km/hr be the speed of the boat in still water and $y$ km/hr be the speed of the current. The speed of the boat downstream = $(x+y)$ km/hr The speed of the boat in upstream = $(x–y)$ km/hr The distance travelled upstream = $24$ km A boat travels 32 km downstream in 4 hours and 24 km upstream in 6 hours. $\text{Speed}=\frac{\text{Distance}}{{\text{Time}}}$ $6(x-y)=24⇒x-y=4$ $4(x+y)=32⇒x+y=8$ Solving the above equations, we get, $2x=12⇒x=6$ km/hr Hence, the correct answer is 6.
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Question : A boat can row 24 km in 6 hours in still water It can row 56 km downstream and 30 km upstream in 38 hours. What is the speed of the stream?
Option 1: 3 km/hr
Option 2: 5 km/hr
Option 3: 3.5 km/hr
Option 4: 4 km/hr
Question : The speed of a boat in still water is 17 km/hr and the speed of a stream is 11 km/hr. Find the difference between the upstream speed and the downstream speed of the boat.
Option 1: 18 km/hr
Option 2: 22 km/hr
Option 3: 21 km/hr
Option 4: 28 km/hr
Question : The speed of a boat in still water is 44 km/hr and the speed of a stream is 26 km/hr. Find the upstream speed of the boat.
Option 1: 12 km/hr
Option 2: 18 km/hr
Option 3: 13 km/hr
Option 4: 14 km/hr
Question : The speed of a boat upstream is 8 km/hr and the speed of a stream is 4 km/hr. The boat covers a distance of $x$ km in upstream and $x$ km in downstream. If the total time taken by the boat is 9 hours, then what is the value of $x$?
Option 1: 60 km
Option 2: 72 km
Option 3: 48 km
Option 4: 36 km
Question : A boat can travel at a speed of 15 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 80 km downstream.
Option 1: 3 hr
Option 2: 4 hr
Option 3: 6 hr
Option 4: 5 hr
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