2 A boat going downstream reaches a place on the river bank in 4 hours. It takes 5 hours for the boat to get back upstream. If the speed of the stream is 2 km/h, find the speed of the boat in still water.
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Solution :
Let's assume the speed of the steamer in still water as x km/hr
Speed of the stream = 2 km/h (Given)
Thus, it is given that going downstream , the steamer takes 4 hours.
Therefore,
• Speed of steamer downstream = (x + 2)km/h
• Distance covered in 1 hour = (x + 2) km
• Distance covered in 4 hour = 4(x + 2) km
It is given that going upstream , the steamer takes 5 hours.
Therefore,
• Speed of steamer upstream = (x - 2)km/h
• Distance covered in 1 hour = (x - 2) km
• Distance covered in 5 hour = 5(x - 2) km
Since, From (i) & (ii) we get :
→ 4(x + 2) = 5(x - 2)
→ 4x + 8 = 5x - 10
→ 4x - 5x = -10 - 8
→ -x = -18 [ (-) & (-) will be cancelled]
→ x = 18
Thus,
- The speed of the water in still water is 18 km/h
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