Question
Speed of a boat in still water is 1.5 times the upstream
speed of the boat. The boat takes 5 hours less to cover (D) km distance in downstream than in upstream. Find the total time taken by the boat to cover (D) km distance in upstream and downstream.Solution
Let the upstream speed of the boat = (u) km/h Speed of boat in still water = 1.5u km/h We know, Speed in still water = {{Upstream speed} + {Downstream speed}}/2 So, {u + d}/2 = 1.5u or, u + d = 3u or, d = 2u Upstream time = D/u Downstream time = D/2u Given, {D/u} - {D/2u} = 5 D( {1/2u} = 5 D/u = 10 Total time = (D/u) + (D/2u) = 10 + 5 = 15 hrs
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