A boat travels $18 k m$ upstream in $6$ hours. How long (In hrs )will it take to cover the same distance downstream. The speed of current is one fourth the speed of boat of boat in still water.

3

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4

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3.6

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Solution

The correct option is B $4$
Let the speed of boat = x km/h
Speed of current $= \frac{x}{4} k m / h$
Upstream $\to$
Distance = 18 km Time = 6 hrs
Speed $= x - \frac{x}{4}$
$\frac{3 x}{4} = \frac{18}{6}$
$x = 4$
Speed of boat = 4 km/h
speed of current = 1 km/h
Downstream :-
Distance = 18 km Time = ?
Speed $= x + \frac{x}{4} = 5 k m / h$
$5 = \frac{18}{t} \Rightarrow t = \frac{18}{5} h o u r s$
$T i m e = 3.6 h o u r s$

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A boat travels 18 km upstream in 6 hours. How long (In hrs )will it take to cover the same distance downstream. The speed of current is one fourth the speed of boat of boat in still water.

The correct option is B 4Let the speed of boat = x km/hSpeed of current =x4km/hUpstream →Distance = 18 km Time = 6 hrsSpeed =x−x43x4=186x=4Speed of boat = 4 km/h speed of current = 1 km/hDownstream :-Distance = 18 km Time = ?Speed =x+x4=5km/h5=18t⇒t=185hoursTime=3.6hours

A boat travels $18 k m$ upstream in $6$ hours. How long (In hrs )will it take to cover the same distance downstream. The speed of current is one fourth the speed of boat of boat in still water.