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ATQ,
Let, the speed of the boat in still water = 4x kmph
Speed of the stream = 4x × (1 – 0.5) = 2x kmph
Downstream speed of the boat = (4x + 2x) = 6x kmph
Upstream speed of the boat = (4x – 2x) = 2x kmph
Distance travelled in upstream = (1/2) × 180 = 90 km
Now,
(180 / 6x) + (90 / 2x) = 12
Or, (30/x) + (45/x) = 12
Or, (75/x) = 12
So, x = 75 / 12 = 6.25
Now,
Upstream speed = 2x = 12.5 kmph
Downstream speed = 6x = 37.5 kmph
Time to travel 75 km upstream = 75 / 12.5 = 6 hours
Time to travel 225 km downstream = 225 / 37.5 = 6 hours
Total time = 12 hours
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