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Ravi's speed of rowing in still water is 6 km/hr. He rows between two points in a river and return to the same starting point. He took 30 minutes more to cover the distance upstream than downstream. If the speed of the stream is 3 km/hr, then the distance between the two points is:

Solution

✅ Correct Option: 2

Ravi's rowing speed in still water is 6 km/hr, the stream speed is 3 km/hr, and upstream takes 30 minutes (0.5 hours) more than downstream.


Downstream speed = Speed in still water + Stream speed

Downstream speed = 6 + 3 = 9 km/hr

Upstream speed = Speed in still water - Stream speed

Upstream speed = 6 - 3 = 3 km/hr


Let the distance between the two points be dd km.

Time downstream = d9\dfrac{d}{9} hours

Time upstream = d3\dfrac{d}{3} hours

Upstream takes 0.5 hours more than downstream:

d3−d9=0.5\dfrac{d}{3} - \dfrac{d}{9} = 0.5


d3−d9=0.5\dfrac{d}{3} - \dfrac{d}{9} = 0.5

3d9−d9=0.5\dfrac{3d}{9} - \dfrac{d}{9} = 0.5

3d−d9=0.5\dfrac{3d - d}{9} = 0.5

2d9=0.5\dfrac{2d}{9} = 0.5

2d=4.52d = 4.5

d=2.25d = 2.25


Therefore, the distance between the two points is 2.25 km.

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