A motor boat can travell 30km upstream and 20km downstream in 7hrs it can travell 21km upstream and return in 5hrs find the speed of boat in still water and speed of stream
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Let rate upstream = x kmph & rate downstream = y kmph
Then 30/x + 44/y = 10
and 40/x + 55/y = 13
On solving we get x = 5 and y = 11
So, rate upstream = 5 km/hr and rate downstream = 11 km/hr
Rate of current = 1/2(11-5) km/hr = 3 km/hr
Rate in still water = 1/2(11+5) km/hr = 8 km/hr
Then 30/x + 44/y = 10
and 40/x + 55/y = 13
On solving we get x = 5 and y = 11
So, rate upstream = 5 km/hr and rate downstream = 11 km/hr
Rate of current = 1/2(11-5) km/hr = 3 km/hr
Rate in still water = 1/2(11+5) km/hr = 8 km/hr
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