A streamer going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream it covers the distance in 30 hours. The speed of water is 6 km/hr. Find the distance between the towns.
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Distance between the towns = 720 m.
Step-by-step explanation:
Let speed of the streamer = x.
Total speed while going upstream = x+6
Total speed while going downstream = x-6
Therefore, (x+6) * 20 = (x-6) * 30
It implies, 20(x) + 120 = 30(x) - 180
It implies, 300 = 10(x)
It implies, x = 30.
Therefore, speed of the streamer while going upstream = 36 km/hr
But distance = speed * time
It implies, distance = 36 * 20.
It implies, distance = 720
Hence, total distance covered = 720 m.
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