Question

the speed of a current in a river is 2 km per hour if the boat is rowed 24 km upstream in 4 hour find the speed of the boat in still water​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The speed of the boat in still water is 8 km/hr.

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Let's understand a few concepts:

To solve the given problem we will use the following formula:

• If we say "a" km/hr is the speed of the boat and "b" km/hr is the speed of the stream then  $\boxed{\bold{Upstream \:speed = (a - b) \:km/hr}}$

• $\boxed{\bold{Time = \frac{Distance}{Speed} }}$

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Let's solve the given problem:

The speed of the current in the river = 2 km/hr

Let the speed of the boat in still water be "x" km/hr.

∴ The upstream speed = (x - 2) km/hr

The distance rowed by the boat = 24 km

The duration of the travelling 24 km of the boat = 4 hrs

Therefore, by combining the above two formulas, we can form an equation as,

$4 \: hr= \frac{24\:km}{(x - 2)\:km/hr}$

$\implies 4 (x - 2) = 24$

$\implies 4x - 8 = 24$

$\implies 4x = 24 + 8$

$\implies 4x = 32$

$\implies \bold{x = 8 \:km/hr}$

Thus, the speed of the boat in still water is 8 km/hr.

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