distance between a and b is 24 km a boat travels from a to b and comes back in 6 hour. the speed of boat in still water is thrice the speed of stream. find the speed of boat.
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Distance = 24 km
Let the speed of the stream be x.
The speed of the boat = 3x
Speed upstream = 3x - x = 2x
Speed downstream = 3x + x = 4x
The time taken downstream :
24/4x = 6/x
Time taken upstream :
24/2x = 12/x
The total time taken upstream and downstream is :
6/x + 12/x = 18/x
18/x = 6
18 = 6x
6x = 18
x = 3
Speed of the boat is :
3 × 3 = 9km/h
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