Question

A steamer goes downstream and covers the distance
between two ports in 9 hours, while it covers the same distance upstream in 10 hours. If the speed of the stream is 1
km/hr, find the speed of the steamer in still water and the
distance between the two ports.

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Answer 1

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Given,

A steamer goes downstream and covers the distance  between two ports in 9 hours, while it covers the same  distance upstream in 10 hours. Speed of the stream is 1  km/hr.

To find :

Find the speed of the steamer in still water and the  distance between the two ports.

Solution :

Let the speed of streamer in still water be n km/h

Speed of stream = 1 km/h

∴ Speed of streamer in downstream = (n + 1) km/h

∴ Distance covered in downstream = 9(n + 1) km

Now, speed of streamer in upstream = (n - 1) km/h

∴ Speed of streamer in upstream = 10(n - 1) km

Now atq,

⇒ 9(n + 1) = 10(n - 1)

⇒ 9n + 9 = 10n - 10

⇒ 10n - 9n = 10 + 9

⇒ n = 19 km/h

∴ Speed of streamer in still water = 19 km/h

Now distance covered in upstream :

⇒ Distance b/w two ports = 10(19 - 1) km

⇒ Distance b/w two ports = 10 * 18

⇒ Distance b/w two ports = 180 km

∴ Distance between two ports = 180 km

Answer 2

Answer:

DISTANCE IS 180KM

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