ABC26GN3826 · Boats and Streams
Subject: General Aptitude · Chapter: Boats and Streams · Exam: · Marks: · Difficulty:
The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream in the same time, the speed of the stream is :
(a)2 km/hr
(b)2.5 km/hr
(c)3 km/hr
(d)4 km/hr
Answer
Explanation
Let the speed of the stream be $x \mathrm{km} / \mathrm{hr}$. Then, Speed downstream $=(10+x) \mathrm{km} / \mathrm{hr}$, Speed upstream $=(10-x) \mathrm{km} / \mathrm{hr}$. $$\begin{aligned} & \therefore \quad \frac{26}{(10+x)}=\frac{14}{(10-x)} \Leftrightarrow 260-26 x=140+14 x \Leftrightarrow 40 x \\ & =120 \Leftrightarrow x=3 \mathrm{km} / \mathrm{hr} . \end{aligned}$$
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