Question

a steamer goes downstream from one port in 9hours. ith covers the same distant in 10. if the speed of the stream be 1km/hr,find the speed of the steamer in still water and the difference between the ports​

Answer 1

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Answer 2

Answer:

The streamer speed in still water is 19 km/hr.

              The distance between ports is 180 km.

Given:  

The stream speed = 1 km/hr

X km/hr is the steamer speed in still water.  

Distance covered by Downstream in 9 hour = Distance covered by upstream in 10 hour

Consider below,

Downstream steamer speed= Still water steamer speed + Stream speed= x + 1,  

Upstream steamer speed = Still water steamer speed - Stream speed= x – 1

Distance covered by Downstream in 9 hour = 9(x + 1)

Distance covered by upstream in 10 hour = 10(x -1)

Solution:

9 (x + 1) = 10 (x - 1)

9x + 9 = 10x - 10

10x – 9x = 10 + 9

x = 19

Speed of the still water = 19 km/hr

Distance between the ports = 9 (19 + 1 ) = 9( 20 ) = 180 km.

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