A steamer goes downstream and covers the distance between two ports in 4 hourswhile it covers the same distance upstream in 6 hours.if the speed of the stream is 2km/h,find the speed of the streamer in still water
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Let the speed of the streamer in still water =x km/hr
the speed of the stream is 3 km/hr
Let the distance covered =d km
Speed downstream =x+3 km/hr
Time taken =5 hr
Distance=speed × time
d=5(x+3)
d=5x+15 ............ (1)
Speed upstream =x−3 km/hr
Time taken =7 hr
Distance=speed × time
d=7(x−3)
d=7x−21 ........... (2)
7x−21=5x+15
7x−5x=15+21
2x=36
x=18 km/hr
Step-by-step explanation:
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