Question
A steamer goes downstream and covers the distance between two ports in $5$ hours while it covers the same distance upstream in $6$ hours. If the speed of the stream is $1 km/hr$, find the speed of the steamer in still water.
✓
Answer
Given, speed of stream $= 1km/h$
Let speed of the steamer in still water be $x km/h$ Then, speed of steamer downstream $= (x + 1)km/h$ & speed of steamer upstream $= (x - 1)km/h $
According to question, Distance covered upstream = Distance covered downstream (Speed of steamer in upstream) $x$
Time taken upstream (speed of steamer downstream) $x$
Time taken downstream $(x - 1) \times 6 = (x + 1) \times 5 6x - 6 = 5x + 5 6x - 5x = 6 + 5 x = 11$
Therefore, the speed of steamer in still water is $11km/h$
Let speed of the steamer in still water be $x km/h$ Then, speed of steamer downstream $= (x + 1)km/h$ & speed of steamer upstream $= (x - 1)km/h $
According to question, Distance covered upstream = Distance covered downstream (Speed of steamer in upstream) $x$
Time taken upstream (speed of steamer downstream) $x$
Time taken downstream $(x - 1) \times 6 = (x + 1) \times 5 6x - 6 = 5x + 5 6x - 5x = 6 + 5 x = 11$
Therefore, the speed of steamer in still water is $11km/h$
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