Question

if a steamer goes down stream from one point to another in 6hrs. It covers the same distance upstream in7hrs If the speed of the steamer is 2km/hr , find the speed of steamer in still water?

Answer 1

Answer:

Step-by-step explanation:

Speed of steamer is 2 km/hr

speed of steamer in downstream in 1hr is x+2

speed of steamer in downstream in 6hr is 6(x+2)

speed of steamer in upstream in 1hr is x-2

speed of steamer in downstream in 7hr is 7(x-2)

ATQ

7(x-2)=6(x+2)

7x-14=6x+12

7x-6x=12+14

x=26

so x = 26

speed of steamer in still water is 6(26+2)

168km is the answer

Answer 2

Answer:

26 kmph

Step-by-step explanation:

Speed of stream =2 km/hr

Time taken downstream=6 hours

Time taken upstream=7 hours

So

Equating

6(x+2)=7(x-2)

6x+12=7x-14

6x-7x= - 14-12

-x=-26

X=26

Speed of steamer in still water=26 km/ph

Verify

----------

6(26+2)=7(26-2)

6×28=7×24

168=168

Hence verified

Mark brainliest