A boatman rows downstream a distance of 30 km in 6 hours and up stream a distance of 24 km in 6 hours. The ratio of speed of boat in still water and speed of current is

A boatman rows downstream a distance of 30 km in 6 hours and up stream a distance of 24 km in 6 hours. The ratio of speed of boat in still water and speed of current is
1). 9 : 1
2). 8 : 1
3). 9 : 2
4). 8 : 3

2 answers

0 vote

Answered by Guest on 2019-04-20 14:02:32 | Votes 0 | #

Solution

Let speed of boat in still water = $x$ km/h

and speed of current = $y$ km/h

Now, $\frac{30}{x + y} = 6$

=> $x + y = 5$

and $\frac{24}{x - y} = 6$

=> $x - y = 4$

Solving above equations, we get :

$x = \frac{9}{2}$ and $y = \frac{1}{2}$

=> $x : y = 9 : 1$

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Guest · Accepted Answer · 2019-04-06 16:51:01