a steamer goes downstream and covers the distance between two ports in four hours while it covers the same distance upstream in five hours. if the speed of the stream is 2 km/h, find the speed of the streamer in still water?
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Answer:
18 km/h
Step-by-step explanation:
Let speed of steamer in still water be x km/h.
Speed of stream = 2 km/h.
Total distance = d km.
Downstream:
Speed = x + 2 km/h
time taken = 4 hours
d = s * t
d = (x + 2) * 4
d = 4x + 8 .......(1)
Upstream:
Speed = x - 2 km/h
time taken = 5 hours
d = s * t
d = (x - 2) * 5
d = 5x - 10 .......(2)
From (1) and (2),
4x + 8 = 5x - 10
x = 18 km/h
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