Question

✨QUESTION ==>

A Boat can row 1km with stream in 10 minutes and 1km against stream in 20 minutes. What is the speed of the boat in Still Water?

Please solve with Steps, Properly.​

Answer 1

Let the speed in still water = x

Let the speed in stream = y

so the speed in downsteam = x + y

but as it is given in question

speed in downstream = $\frac{1}{\frac{10}{60}$

= 6 km/h = x + y

speed in upstream = x - y

$x - y = \frac{1}{\frac{20}{60}} =3km/h$

so from this

x + y = 6 {i}

x - y = 3 {ii}

on {i} + {ii}

x = 4.5 (now putting this value in {i} )

4.5 + y = 6

y = 6 - 4.5

= 2.5

so speed in still water 4.5 k/h

speed of stream 2.5 km/h

Answer 2

Given :  A boat can row 1 km with stream in 10 minutes and

1 km against stream in 20 minutes.

To Find : The speed of the boat in still water?

Solution:

Distance = speed * time

10 mins = 10/60 hrs

20 mins = 20 /60 hrs

speed of the boat in still water = x  km/hr

speed of the stream = y  km/hr

speed of the boat  with stream = x + y km/hr

x + y   = 1/(10/60)  

=> x + y  = 6

speed of the boat against stream = x - y km/hr

x + y   = 1/(20/60)  

=> x - y  = 3

Adding both

=> 2x = 9

=> x = 4.5

The speed of the boat in still water is 4.5 km/hr

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