Question : The Iceland team, while rowing, covered a distance of 20 km downstream in 2 hours and the same distance upstream in 5 hours. Find the speed of the stream.
Option 1: 3 km/h
Option 2: 8 km/h
Option 3: 7 km/h
Option 4: 4 km/h
Correct Answer: 3 km/h
Solution :
Given,
The Iceland team, while rowing, covered a distance of 20 km downstream in 2 hours and the same distance upstream in 5 hours.
We know,
Distance = speed × time
Let the speed of the stream be $x$ and the speed of the boat be $y$.
For downstream, $20=(x+y)×2$
⇒ $20=2x+2y$
⇒ $x+y=10$...........(1)
For upstream, $20=(y−x)×5$
⇒ $20=5y−5x$
⇒ $y-x=4$..............(2)
Solving (1) and (2), we get,
⇒ $2y=14$
⇒ $y=7$
⇒ $x=7-4$
⇒ $x=3$
Hence, the correct answer is 3 km/hr.
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