Math, asked by itzDivya36, 2 months ago

Question : -

A steamer goes downstream and covers the distance between two Aports in 3 hours. It covers the same distance in 5 hours when it goes upstream. If the stream flows at 3 km/hr, then find what is the speed of the steamer upstream?​

Answers

Answered by Anonymous
4

Answer:

Let the speed of the streamer in still water =x km/hr

the speed of the stream is 3 km/hr

Let the distance covered =d km

Speed downstream =x+3 km/hr

Time taken =5 hr

Distance=speed × time

d=5(x+3)

d=5x+15 (1)

Speed upstream =x−3 km/hr

Time taken =7 hr

Distance=speed × time

d=7(x−3)

d=7x−21 (2)

From (1) and (2),

7x−21=5x+15

7x−5x=15+21

2x=36

x=18 km/hr

Step-by-step explanation:

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Answered by pari9054
13

Let the speed of the streamer in still water be x km/hr

Speed of the stream=3 km/hr

It is given that while going downstream,the streamer takes 3 hours to cover the distance between two port.

Speed of the steamer downstream=(x+3) km/hr

Dustance covered in 1 hour=(x+3) km

Distance covered in 3 hr=3(x+3)km

Distance between two ports=(x+3) km

It is given that while going upstream,the streamer takes 5 hours to cover the distance.

Speed of the streamer upstream=(x-3) km /hr

Distance covered in 1 hr = (x-3)km

Distance covered in 5hr=5(x-3) km

Distance between two ports in this case =5(x-3) km

The distance between two ports is the same

From 1 and 2 ,we get,

3(x+3)=5(x-3)

3x+9=5x-15

3x-5x=-15-9

2x=24

x=12

The speed of streamer in still water=12 km/hr

Hope it's help you♛┈⛧┈┈•༶♛┈⛧┈┈•༶

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