A motor boat heads upstream a distance of 24 km in a river whose curre

1.	A motor boat heads upstream a distance of 24 km in a river whose current is running at 3km per hour. The trip up and back takes 6 hours. Assuming that the motor boat maintaineda constant speed, what was its speed in still water?
Answer» Let the speed of the boat in still water be x KM/hr. Speed of boat in upstream = x - 3 km/hr and in downstream = x + 3 km/ hr. So 24/(x+3) + 24/(x-3) = 6 => [24(x-3) + 24(x+3)]/(x+3)(x-3) = 6 => 48x = 6(x² - 9) => 8z = x² - 9 => x² -8X -9 = 0 = (x-9)(x+1) = 0 => x = 9 or x = -1 x cannot be negative . So x = 9 Speed of boat = 9km/hr

A motor boat heads upstream a distance of 24 km in a river whose current is running at 3km per hour. The trip up and back takes 6 hours. Assuming that the motor boat maintaineda constant speed, what was its speed in still water?

Answer»

Let the speed of the boat in still water be x KM/hr.

Speed of boat in upstream = x - 3 km/hr

and in downstream = x + 3 km/ hr.

So 24/(x+3) + 24/(x-3) = 6

=> [24(x-3) + 24(x+3)]/(x+3)(x-3) = 6

=> 48x = 6(x² - 9)

=> 8z = x² - 9 => x² -8X -9 = 0

= (x-9)(x+1) = 0 => x = 9 or x = -1

x cannot be negative . So x = 9

Speed of boat = 9km/hr

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A motor boat heads upstream a distance of 24 km in a river whose current is running at 3km per hour. The trip up and back takes 6 hours. Assuming that the motor boat maintaineda constant speed, what was its speed in still water?​

Speed of boat = 9km/hr

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A motor boat heads upstream a distance of 24 km in a river whose current is running at 3km per hour. The trip up and back takes 6 hours. Assuming that the motor boat maintaineda constant speed, what was its speed in still water?