a motorboat whose speed is 20 km per hour in still water takes 1 hour more to go 48 km upstream then to return downstream to the same spot find the speed of stream
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Answer: Let the speed of stream = x
Speed of boat = 20 km per hour
Distance = 48 km
Time taken by motor boat to go downstream = 48/ ( x + 20 ) hr
Time taken by motor boat to go upstream = 48/ ( x - 20 ) hr
A/C to the question :
48/ ( x + 20 ) + 1 = 48/ ( x - 20 )
48/ ( x + 20 ) - 48/ ( x - 20 ) = 1
48( 1/ x + 20 - 1/x - 20 ) = 1
1/ x + 20 - 1/x - 20 = 48
x-20-x+20/ ( x + 20 ) ( x - 20 ) = 48
x² + 20x + 20x + 400 = 48
x² + 40x +400 = 48
x² + 40x +400-48 =0
x² + 40x + 352 = 0
∴ This is our quadratic equation and u can solve it by quadratic formula for finding the value of x means speed of stream.
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