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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

✅ Correct Option: 3

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 = uu km/h

Then, speed of boat in downstream = 2u2u km/h


For the upstream journey:

Distance = 24 km

Speed = uu km/h

Time taken upstream = 24u\dfrac{24}{u} hours


For the downstream journey:

Distance = 24 km

Speed = 2u2u km/h

Time taken downstream = 242u\dfrac{24}{2u}

=12u= \dfrac{12}{u} hours


Total time = Time upstream + Time downstream

4=24u+12u4 = \dfrac{24}{u} + \dfrac{12}{u}

4=36u4 = \dfrac{36}{u}

4u=364u = 36

u=364u = \dfrac{36}{4}

u=9u = 9


Therefore, the speed of boat in upstream is 9 km/h.

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