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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


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 9th Jan, 2024

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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