A boat covers a distance 24 km upstream and returns to the same point in a total of 4 hours. If the speed of boat in downstream is twice its speed in upstream, then the speed of boat in upstream is:
A boat covers a distance 24 km upstream and returns to the same point in a total of 4 hours. If the speed of boat in downstream is twice its speed in upstream, then the speed of boat in upstream is:
Solution
The boat travels 24 km upstream and returns 24 km downstream to the starting point. The entire journey takes 4 hours.
Speed downstream = 2 × Speed upstream
Let the speed of boat in upstream = km/h
Then, speed of boat in downstream = km/h
For the upstream journey:
Distance = 24 km
Speed = km/h
Time taken upstream = hours
For the downstream journey:
Distance = 24 km
Speed = km/h
Time taken downstream =
hours
Total time = Time upstream + Time downstream
Therefore, the speed of boat in upstream is 9 km/h.
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