Question : The speed of a boat going downstream is 22 km/h.The speed of the stream is 1 km/h. How much distance in total will the boat cover going 3 hours downstream and 2 hours upstream?
Option 1: 112 km
Option 2: 94 km
Option 3: 106 km
Option 4: 102 km
Correct Answer: 106 km
Solution :
We know that,
Upstream speed = $x - y$ and downstream speed = $x + y$
Where $x$ is the speed of the boat in still water and $y$ is the speed of the stream
Given that $x + y = 22$ km/hr and speed of stream $y = 1$ km/hr
So, $x = 22 - 1 = 21$ km/hr
Distance = Speed × Time
Total distance = 3 hours downstream + 2 hours upstream
= $3 (x + y) + 2 (x - y)$
= $5x + y$
Putting the value of $x$ and $y$, we get
Total distance = 5 × 21 + 1 = 106 km
Hence, the correct answer is 106 km.
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