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A boat covers a certain distance downstream in 1 hour, while it comes back in 1$ \dfrac{1}{2} $ hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

12 kmph
13 kmph
14 kmph
15 kmph
Explanation:

Let the speed of the boat in still water be $ $ kmph. Then,

Speed downstream = $ x $ + 3 kmph.

Speed upstream = $ x $ - 3 kmph.

$\therefore$ $ x $ + 3 x 1 = $ x $ - 3 x $ \dfrac{3}{2} $

$\Rightarrow$ 2$ x $ + 6 = 3$ x $ - 9

$\Rightarrow x $ = 15 kmph.

Additional Questions

A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and the stream is:

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A boat can travel with a speed of 12 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

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A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 54 km downstream

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A boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water?

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Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:

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In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water in km/hr is:

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If a mans rate with the current is 15 km/hr and the rate of the current is 11/2 km/hr, then his rate against the current is

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The speed of the boat in still water in 12 kmph. It can travel downstream through 45 kms in 3 hrs. In what time would it cover the same distance upstream?

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