Question : The speeds of a boat along and against the current are 14 km/hr and 8 km/hr, respectively. The speed of the current is:
Option 1: 11 km/hr
Option 2: 6 km/hr
Option 3: 5.5 km/hr
Option 4: 3 km/hr
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Correct Answer: 3 km/hr
Solution : Given: Downstream speed = 14 km/hr Upstream speed = 8 km/hr Speed of current = $\frac{\text{Downstream speed}-\text{Upstream speed}}{2}$ = $\frac{14–8}{2}$ = $\frac{6}{2}$ = 3 km/hr Hence, the correct answer is 3 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:
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?
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?
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 : If the speed of a boat in still water is 20 km/hr and the speed of the current is 5 km/hr, then the time taken by the boat to travel 100 km with the current is:
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