The speed of a boat in still water is 16 km/h, the time taken by the boat to cover a distance of 18 km upstream is equal to the time taken by the boat to travel 30Km downstream. What is the speed of the stream?
Answer & explanation
Correct answer: option 3
The speed of a boat in still water = 16 km/h.
Upstream Speed = Speed of Boat – Speed of current
Downstream Speed = Speed of Boat + Speed of current
Let the speed of the stream = b
according to the question,
\(\frac{18}{16 - x}\) = \(\frac{30}{16 + x}\) ,
\(\frac{3}{16 - x}\) = \(\frac{5}{16 + x}\)
= 48 + 3x = 80 - 5x
= 8x = 32
= x = 4