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1. 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

Solution:

Downstream speed,
=

\frac{9}{2}

= 4.5 kmph
Upstream speed,
=

\frac{9}{6}

= 1.5 kmph
Thus, 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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