a motor boat whose speed is 24km/h in still water takes 1 hour more to go 32km upstream than to return downstream to the same spot find the speed of the stream
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6
Total Distance = 32kmSpeed in Still Water = 24km/hrLet the speed of stream be 'x' kmphthen, Speed moving upstream = 24-x Speed moving downstream = 24+xWe know that is time
On reducing it to a quadratic equation,we get - On solving it by splitting the middle term method (8&72 as factors) we get,x = 8 or -72Since, the speed cannot be negative, x = 8Therefore, the speed of the stream is 8 km/hr
On reducing it to a quadratic equation,we get - On solving it by splitting the middle term method (8&72 as factors) we get,x = 8 or -72Since, the speed cannot be negative, x = 8Therefore, the speed of the stream is 8 km/hr
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5
let the speed of stream be x.
and speed of boat = 24 km/h
so,
{ 32/(x+24) } - {32/(24 - x)} = 1
32/(x+24) + 32/(x-24) = 1
64x/(x^2-576) = 1
x^2-64x-576 = 0
so x = 72 km/h..
and speed of boat = 24 km/h
so,
{ 32/(x+24) } - {32/(24 - x)} = 1
32/(x+24) + 32/(x-24) = 1
64x/(x^2-576) = 1
x^2-64x-576 = 0
so x = 72 km/h..
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