The distance between two places A and B is 14 km. A boat travels from A to B downstream and then returns from B to A upstream and takes a total of 3 hours 44 minutes for the entire journey. If the speed of the current is 2 km/h, then what is the speed of the boat, in km/h, in still water?
Answer & explanation
Correct answer: option 3
We know that,
Time = \(\frac{ Distance }{ Speed }\)
Given, = Distance = 14 km
Time taken in upstream and downstream = 3 h 44 min
Speed of current = 2 km/h
Let speed of boat be a km/hr
According to the question =
\(\frac{ 14 }{ a + 2 }\) + \(\frac{ 14 }{ a - 2 }\) = 3 km/hr + 44 min
With the help of options
If we put a = 8
\(\frac{ 14 }{ 10 }\) + \(\frac{ 14 }{ 6}\) = 1 hr + 24 min + 2 hr + 20 min = 3 hr + 44 min (satisfied)