Rate downstream = (2/15) x 60 km/hr = 8 km/hr
Rate upstream = 5 km/hr
? Velocity of the current = (8 - 5)/2 km/hr = 1.5 km/hr
Man's rate upstream = 16/5 km/hr
Man's rate downstream = 27/5 km/hr
? Velocity of the current = (27/5 - 16/5)/2 km/hr = 1.1 km/hr
Speed of current = 5 - 3.5 = 1.5 km/hr
Man's speed along the current = Man speed in still water + speed of current.
? Man's speed along the current = 5 + 1.5 = 6.5 km/hr
Speed of stream = speed in downstream - Speed in still water
? Speed of stream = 19 - 12 = 7 km/hr
Speed of boat against stream = Speed in still water - Speed of stream.
? Speed of boat against stream = 12 - 7 = 5 km/hr
Speed in still water + Speed of stream = Speed in downstream.
? 10 + y = 13
? y = 13 - 10 = 3 km/hr
? Speed upstream = 14 x (60/56) = 15 km/hr
Speed in upstream = Speed in still water - Speed of stream.
? x - 2 = 15
? x = 17 km/hr
Velocity of stream = (downstream velocity - upstream velocity)/2
= (60/10 - 60/30)/2
= 2 km/hr
Speed of boat in still water = 15 - 1.5 = 13.5 km/hr
Speed of boat in upstream = 13.5 - 1.5 = 12 km/hr
Downstream speed = 15 + 3 = 18 km/hr.
Required distance = (18 x 12)/60 = 3.6 km
? Upstream rate = 32/4 = 8 km/hr
? Speed of man in still water = 8 + 2 = 10 km/hr
? Downstream rate = (10 + 2) = 12 km/hr
Now, the required distance = 12 x 6 = 72 km
? Speed of current = 8 - 36/6 = 2 km/hr
? Rate downstream = (8 + 2) = 10 km/hr
? Required distance = (8 + 2) x 10 = 100 km
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