A boat travels upstream from B to A and downstream from A to B in 4 hours. If the speed of the boat in still water is 8 km/hr and the speed of the current is 4 km/hr the distance between A and B is _____ km.
1). 12
2). 16
3). 24
4). 18
Let the distance between A and B be ‘x’ km
Downstream speed = speed of boat + speed of current
∴ Downstream speed = 12 kmph
Upstream speed = speed of boat – speed of current
∴ Upstream speed = 4 kmph
Total time taken = time taken in upstream + time taken in downstream
But we know that
Time = (Distance )/speed
$(\therefore \;4\; = \;\frac{x}{4} + \;\frac{x}{12} = \frac{{x}}{3})$
∴ x = 12 km
Thus the distance between A and B is 12 km