A motorboat goes upstream on a river and covers the distance between two towns on river bank in 9 hours it covers third distance downstream in 6 hour if the speed of stream is 6 km per hour find the speed of boat.
Answers
Let the speed of the boat in still water be x.
Given that the speed of the stream is 2km/h.
Upstream:
Speed = ( x - 2) km/h
Distance = Speed x Time
Distance = 6 (x - 2) km
Downstream:
Speed = ( x + 2) km/h
Distance = Speed x Time
Distance = 5(x + 2) km
Solve x:
Since both the distance are the same:
6(x- 2) = 5( x + 2)
6x - 12 = 5x + 10
x = 22 km/h
Answer: The speed of the boat in still water is 22 km/h
Answer:
Step-by-step explanation:
Let the speed of the boat in still water be x.
Given that the speed of the stream is 2km/h.
Upstream:
Speed = ( x - 2) km/h
Distance = Speed x Time
Distance = 6 (x - 2) km
Downstream:
Speed = ( x + 2) km/h
Distance = Speed x Time
Distance = 5(x + 2) km
Solve x:
Since both the distance are the same:
6(x- 2) = 5( x + 2)
6x - 12 = 5x + 10
x = 22 km/h
Answer: The speed of the boat in still water is 22 km/h