Question : A boat can travel 104 km downstream in 8 hours. If the speed of the stream is 2 km/hr, then at what time will it be able to cover 13 km upstream?
Option 1: $2 \frac{2}{3}$ hours
Option 2: $1 \frac{4}{9}$ hours
Option 3: $2 \frac{1}{2}$ hours
Option 4: $1 \frac{2}{3}$ hours
Correct Answer: $1 \frac{4}{9}$ hours
Solution :
Given,
The boat can travel 104 km downstream in 8 hours.
Speed of stream = 2 km/hr
Let the speed of the boat in still water be $x$.
So, $\frac{104}{(x + 2)} = 8$
⇒ $x + 2 = 13$
$\therefore x= 11$
So, the upstream speed = 11 – 2 = 9 km/hr
We know, Distance = Speed × Time
So, the required time = $\frac{13}{9}=1\frac49$ hours
Hence, the correct answer is $1\frac49$ hours.
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