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Class 10 > Learn Mathematics > A motorboat can travel 30 km upstream and downstream...
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A motorboat can travel 30 km upstream and downstream 28 km in 7 hrs. It can travel 21 km upstream and return in 5 hrs. Find speed of the boat in still water and the speed of the stream?

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Let speed of boat is x km/hr: speed of stream is y km/hr downstream = x+y upstream = x-y therefore equation will be 30/x-y + 28/x+y =7 21/x-y + 21/x+y =5 let x-y= 1/p and x+y= 1/q 30p + 28q = 7 multiply 1 by 3 90p+84q=21 21p...
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Let speed of boat is x km/hr: speed of stream is y km/hr downstream = x+y upstream = x-y therefore equation will be 30/x-y + 28/x+y =7 21/x-y + 21/x+y =5 let x-y= 1/p and x+y= 1/q 30p + 28q = 7 multiply 1 by 3 90p+84q=21 21p + 21q = 5 2 by 4 84p+84q=20 by solving we get p=1/6 q= 1/14 further x+y = 14 and x-y =6 x=10 and y=4 will be the answer. read less
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