A steamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of stream be 2 km/h, find the speed of the steamer in still water and the distance between the ports.
G 10 T 50 k
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The correct option is A 30 km/hr
Let speed of steamer in still water = x km/hr
Speed of stream = 2 km/hr
Speed downstream = (x + 2) km/hr
Speed upstream = (x – 2) km/hr
Distance covered in 7 hours while downstream = 7(x + 2)
According to the condition,
7(x+2) = 8(x-2)
7x + 14 = 8x – 16
x = 30 km/hr
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