Question : A boat moves downstream at the rate of 1 km in $7\frac{1}{2}$ minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?
Option 1: $3\frac{1}{2}$ km/hr
Option 2: $6\frac{1}{2}$ km/hr
Option 3: $4$ km/hr
Option 4: $8$ km/hr
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Correct Answer: $6\frac{1}{2}$ km/hr
Solution : Given: Downstream Speed = 1 km in $7\frac{1}{2}$ minutes = $\frac{1}{\frac{15}{2×60}}$ = 8 km/hr Upstream Speed = 5 km/hr Speed of boat in still water = $\frac{\text{(Downstream Speed + Upstream Speed)}}{2}$ = $\frac{8+5}{2}$ = $6\frac{1}{2}$ km/hr Hence, the correct answer is $6\frac{1}{2}$ km/hr.
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Question : A boat moves downstream at a rate of 8 km/hr and upstream at 4 km/hr. The speed of the boat in still water is:
Option 1: 4.5 km/hr
Option 2: 5 km/hr
Option 3: 6 km/hr
Option 4: 6.4 km/hr
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?
Option 1: 6.5
Option 2: 7.75
Option 3: 9
Option 4: 10.5
Question : A boat moves 25 km upstream and 39 km downstream in 8 hours. It travels 35 km upstream and 52 km downstream in 11 hours. What is the speed of the stream if it travels at a uniform speed?
Option 1: 4 km/hr
Option 4: 3 km/hr
Question : A boat goes 20 km upstream and 44 km downstream in 8 hours. In 5 hours, it goes 15 km upstream and 22 km downstream. Determine the speed of the boat in still water.
Option 1: 6 km/h
Option 2: 10 km/h
Option 3: 8 km/h
Option 4: 7 km/h
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?
Option 1: 1.5 km/hr
Option 2: 1 km/hr
Option 3: 2 km/hr
Option 4: 2.5 km/hr
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