Question

a boat takes 8 hrs to row 48kms downstream and 12hrs to row the same distance upstream.find the boats rate in still water and the rate in still water and the rate of current. ​

Answer 1

Answer:

a boat takes 8 hrs to row 48kms downstream and 12hrs to row the same distance upstream.find the boats rate in still water and the rate in still water and the rate of current.

Answer 2

$\huge \bf \underline{ \underline{☄ Question}}$

a boat takes 8 hrs to row 48kms downstream and 12hrs to row the same distance upstream.find the boats rate in still water and the rate of current.

$\huge \bf \underline{ \underline{☄ Answer}}$

Let us consider the speed of the boat as $x\ km/h$

And let the speed of the stream be $y \ km/h$

Formulas:-

• Upstream = (x - y) km/h
• Downstream = (x + y) km/h

Given:-

• Distance covered = 48 km
• Time for downstream = 8h
• Time for upstream = 12h

Calculations:-

Speed of boat downstream,

$= \frac{48km}{8h} \\ = 6km {h}^{ - 1}$

Speed of boat upstream,

$= \frac{48km}{12h} \\ = 4km {h}^{ - 1}$

To Find:-

• Speed of boat in still water
• Speed of stream

Using the formulas,

x - y = 4 ---(i)

x + y = 6 ---(ii)

Adding (I) and (ii)

2x = 10

x = 5

Putting the value of x in (i)

5 - y = 4

y = 1

Final Answer:-

Speed of the boat in still water (x) = 4km/hr

Speed of the stream (y) = 1km/h