Question

(v)
back upstream, it covers this distance in 20 hours. The speed of the water is 3 km/hr. Find the
distance between two towns.
11. A steamer, going downstream in a river, covers the distance between 2 towns in 15 hours. Coming back upstream ,it covers this distance in 20hrs .the speed of the water is 3km/hr .find the distance between 2 towns.​

Answer 1

Answer:

a steamer going downstream in a river covers the distance between two towns in 20 hour coming back upstream it covers this distance in 25 hours the speed of water is 4 km/h. find the distance between the two town.

:

Let s = speed of the boat in still water

then

(s-4) = speed upstream

and

(s+4) = speed downstream

;

Distance both ways is equal. Make a distance equation; Distance = Time * speed

Up distance = down distance

25(s-4)= 20(s+4)

:

25s - 100 = 20s + 80

25s - 20s = +100 + 80

5s = 180

s = 180/5

s = 36 mph

:

Find the distance:

Dist = time * speed

downstream: d = 20(36+4) = 800 mi

and

Upstream: d = 25(36-4) = 800 mi also

Step-by-step explanation:

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Answer 2

Answer:

the above question answer is as follows;-

Step-by-step explanation:

Let the speed of the stream be x km/h.

Given, speed of water =3 km/h  

Therefore, downstream speed =(x+3) km/h

and upstream speed =(x−3) km/h

Again, time taken in downstream and upstream is 15 hours and 20 hours respectively.

Now, distance downstream = distance upstream

⇒15(x+3)=20(x−3)

⇒15x+45=20x−60

⇒15x−20x=−60−45

⇒−5x=−105 or x=21 km/h

Therefore, downstream speed =21+3=24 km/h

So, distance between the two towns = Downstream speed × Time taken in downstream  

=24×15=360 km

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