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18)
Swimmers speed along the river (downstream) is 20km/hr

and can swim Cupstream) at 8km lhr. calculate the
velocity of the stream and the swimmer's possible
speed in still water,​


Sagot :

Answer:

The speed of the stream is 6 km/h and the speed of the swimmers in still water is 14 Km/h

Explanation:

Relative Speeds

When swimming downstream, the velocity (speed, really) of the stream (Vs) and the speed of the swimmers (Vm) are collaborative. When swimming upstream the speed of the stream subtracts to the speed of the swimmers, thus:

Vm + Vs = 20

Vm - Vs = 8

Adding both equations:

2Vm = 28

Vm = 28/2 = 14

From the first equation:

Vs = 20 - Vm = 20 - 14 = 6

The speed of the stream is 6 km/h and the speed of the swimmers in still water is 14 Km/h