Question

steamer covers the distance between two parts down the stream in 2 hours. It covers the same distance up the stream in 3 hours. If the speed of the stream be 3 kilometre per hour then find the speed of the steamer in still water​

Answer 1

Step-by-step explanation:

HEY MATE ..

Let the distance between the sports be D.

Let us assume the speed of boat in still water to be X km / hr

km / hr

Speed of steam is equal to 2 kilometre per hour

Speed of boat down the string will be :- X +2

We know Time = distance / velocity

So. 4 = D / X +2. (1)

Speed off the boat up stream will be :- X -2

So. 5 = D / X-2. (2)

Now dividing the equation 1 by equation

24/5. = D / X+2 ÷ D/X-24/5 = D / X+2 × (x-2) / D4/5 = X-2 /X+24 (X+2) = 5 (X-2)4X + 8 = 5X - 10X= 18

In case if you are asked the distance between the port then put value of X in either e q 1 and e q 2 you will get D

q 2 you will get DHere D = 80

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Answer 2

Answer:

Let the distance between the sports be D

Let us assume the speed of boat in still water to be Xkm / hr

Speed of steam is equal to 2 kilometre per hour

Speed of boat down the string will be :- X +2

We know Time = distance / velocity

So. 4 = D / X +2. (1)

Speed off the boat up stream will be :- X -2

So. 5 = D / X-2. (2)

Now dividing the equation 1 by equation 2

4/5. = D / X+2 ÷ D/X-2

4/5 = D / X+2 × (x-2) / D

4/5 = X-2 /X+2

4 (X+2) = 5 (X-2)

4X + 8 = 5X - 10

X= 18

In case if you are asked the distance between the port then put value of X in either eq 1 and eq 2 you will get D

Here D = 80