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A motor boat takes 2 hours to travel a distance of 9 km downstream and it takes 6 hours to travel the same distance against the current. The speed of the boat in still water and that of the current (in km/h) respectively are:

a) 6, 5 km/h
b) 3, 1.5 km/h
c) 8, 5 km/h
d) 9, 3 km/h

Answer: b
Explanation: Downstream speed,
= $$\frac{9}{2}$$ = 4.5 kmph
Upstream speed,
= $$\frac{9}{6}$$ = 1.5 kmph
Speed of boat in still water,
= $$\frac{{4.5 + 1.5}}{2}$$   = 3 km/h
Speed of current = $$\frac{{4.5 – 1.5}}{2}$$   = 1.5 km/h

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