a streamer goes downstream in a river cover the distance between two towns in 15 hours coming back upstream it covers the distance in 20 hours the speed of the water is 3 km per hour find the distance between two towns
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Answers
Answer:
let x=speed of steamer in still water
x+3=speed of steamer downstream
x-3=speed of steamer upstream
distance=travel time*speed (same for both directions)
..
15(x+3)=20(x-3)
15x+45=20x-60
5x=105
x=21
distance=15(x+3)=15*24=360
distance between two towns=360 km
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Given :
Time taken when going downstream = 15 hours
Time taken when going upstream = 20 hours
Speed of water = 3 km/h
To find :
The distance between the two towns .
Solution :
Let the speed of steamer in still water be v km/h .
Then , the speed of steamer downstream = v+3 km/h
and , the speed of steamer upstream = v-3 km/h
Now , the distance covered by the streamer going downstream and upstream are equal .
Then ,
=> 15 * ( v + 3 ) = 20 * ( v - 3 )
=> 15v + 45 = 20v - 60
=> 5v = 105
=> v = 21 km/h
now ,
distance = 15 * ( v + 3 ) = 15 * 24 = 360 km
The distance between the two towns is 360 km .