a streamer goes downstream from the point to another in 7 hours.it covers the same distance upstream in 8 hours.if the speed of the stream be 2 km/hr find the difference between ports.
Answers
Answer:
Let the speed of the steamer in still water = x km/hr.
ATQ(According To the Question)
Speed of stream = 2 km/hr.
Downstream Speed = (x + 2) km/hr.
Upstream Speed = (x - 2) km/hr.
distance covered in 7 hours while downstream = 7(x + 2).
distance covered in 8 hours while upstream = 8(x - 2).
7(x + 2) = 8(x - 2)
7x + 14 = 8x - 16
7x - 8x = -16 - 14
-x = -30
x = 30.
Distance between the ports = 7(x + 2) km
= 7(30 + 2)
= 7(32)
= 224 km.
hence,
speed of the steamer in still water = 30 km/hr.
Distance between the ports = 224 km.
I hope it may help you!!
Answer:
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Step-by-step explanation:
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