Question
The velocity of a vessel in calm waters is 4.5 times the
speed of the current. If the disparity between the boat's speed when moving against the current and with the current is 24 km/hr, calculate the duration it takes for the boat to journey 336 km upstream.Solution
ATQ, Let the speed of the stream be βaβ km/hr Therefore, speed of the boat in still water = β4.5aβ km/hr Upstream speed of the boat = 4.5a β a = β3.5aβ km/hr Downstream speed of the boat = a + 4.5a = β5.5aβ km/hr ATQ, 5.5a β 3.5a = 24 Or, 2a = 24 Or, a = 12 Therefore, upstream speed of the boat = 3.5a = 42 km/hr Required time taken = 336/42 = 8 hours
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