A steamer going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4 km/h. Find the distance between the two towns.
Answers
Answer:
800 km
Step-by-step explanation:
Let the speed of steamer in still water = x km/h
In Downstream
Speed of Steamer = Speed in still water + speed of Water
= x + 4
Time taken = 20 hours
Distance = Time × speed
= 20( x + 4) ------- ( i )
In Upstream
Speed of Steamer = Speed in still water - speed of water
= x - 4
Time taken = 25 hours
Distance = Time × speed
= 25( x - 4) --------- ( ii )
According to question
Distance Covered in Upstream = Distance Covered in Downstream
∴ 25(x - 4) = 20( x + 4) [ From eq ( i ) and ( ii ) ]
25x - 100 = 20x + 80
5x = 180
x = 36
Speed of Steamer in still water = 36 km/h
Putting this value in ( i )
Distance between two towns = 20( x + 4)
= 20 × 40
= 800
Hence Distance between two towns is 800 KM
Let the speed of streamer
= x km / h
and the speed of water = to 4 km/ h
speed of streamer in downstream
= x +4 km / h
speed of steamer in upstream
= x -4 km / h
the distance travel by Steamer in down stream
= 20( x + 4) km / h
the distance travel by steamer in upstream
= 25 ( x -4)
According to the question,,,
20 ( x + 4 ) = 25 ( x -4 )
20 x + 80 = 25 x -100
20 x -25x = -100-80
-5x = -180
x = 36
Thus the distance between two town,,
= 20( x + 4)
= 20 (36+4 ) km
= 20 × 40
= 800 km
thus , the distance between two towns is 800 km ans