A motorboat goes downstream and covers a distance in 4 hours while it covers the same distance upstream in 5 hours if the speed of the stream is 3 kilometre per hour find the speed of the motor boat in still water
Answers
Answer:
Step-by-step explanation:
Let the speed of the steamer in still water be x km/h. Then,
The speed downstream = (x+3) km/h
The speed upstream = (x-3) km/h
The distance covered in 4 hours while going downstream = 4(x+3) km
The distance covered in 5 hours while going upstream = 5(x-3) km
But,each of these distances in the distance between the two ports which is the same.
4 (x+3) = 5 (x-3)
4x + 12 = 5x - 15
4x -5x = -15 -12
-x = -27
x = 27
Hence, speed of the stream in still water = 27 km/h.
Step-by-step explanation:
heyyy mate here is urr answer...
let the speed of the motor boat be X
speed of motor boat in downstream = (X+3) km/hr.
speed of motor boat in upstream = (x-3) km/hr.
so, distance= time x speed
so, distance travelled by speed of X+3=4(X+3)
distance travelled by speed of x-3=5(X+3)
so, distance travelled was same so
=: 4(X+3) = 5(x-3)
=: 4x+12= 5x-15
=: 4x-5x= -15-12
=: -x= -27
=: X= 27
May it helps u...
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