Question : A boat goes 75 km upstream in 3 hours and 60 km downstream in 1.5 hours. The speed of the boat in still water is:
Option 1: 32.5 km/h
Option 2: 30 km/h
Option 3: 65 km/h
Option 4: 60 km/h
Correct Answer: 32.5 km/h
Solution : Upstream speed of boat = $\frac{75}{3} = 25$ km/h Downstream speed of boat = $\frac{60}{1.5} = 40$ km/h So, speed of boat in still water =$\frac{1}{2}$(Upstream speed + Downstream speed) $=\frac{25+40}{2} = 32.5$ km/h Hence, the correct answer is 32.5 km/h.
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Question : A boat can go 40 km downstream and 25 km upstream in 7 hours 30 minutes. It can go 48 km downstream and 36 km upstream in 10 hours. What is the speed (in km/hr) of the boat in still water?
Option 1: 6
Option 2: 12
Option 3: 9
Option 4: 15
Question : A boat goes 2 km upstream and 3 km downstream in 20 minutes. It goes 7 km upstream and 2 km downstream in 53 minutes. What is the speed (in km/hr) of the boat in still water?
Option 1: $\frac{75}{7}$
Option 2: $\frac{120}{7}$
Option 3: $\frac{135}{7}$
Option 4: $\frac{150}{7}$
Question : A boat goes 12 km downstream and comes back to the starting point in 3 hours. If the speed of the current is 3 km/h, then the speed (in km/h) of the boat in still water is:
Option 1: 12
Option 2: 9
Option 3: 8
Option 4: 6
Question : A boat covers 24 km upstream and 36 km downstream in 6 hours, while it covers 36 km upstream and 24 km downstream in $6\frac{1}{2}$ hours. The speed of the current is:
Option 1: 1 km/hr
Option 2: 2 km/hr
Option 3: 1.5 km/hr
Option 4: 2.5 km/hr
Question : A boat travels 60 kilometres downstream and 20 kilometres upstream in 4 hours. The same boat travels 40 kilometres downstream and 40 kilometres upstream in 6 hours. What is the speed (in km/hr) of the stream?
Option 1: 24 km/hr
Option 2: 16 km/hr
Option 3: 18 km/hr
Option 4: 20 km/hr
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