Question

- A steamer goes down stream from one
place to another in 8 hours. It covers
the same distance up stream in 9 hours.
If the speed of the stream is 2 km/h,
then the speed of the steamer in still
water is:​

Answer 1

Answer:

x is the answer of the equation.

Answer 2

Let the speed of the steamer in still water is x km/h and distance is d.  

Then, speed of steamer downstream (u)= speed of steamer in still water+speed of stream=x+1

Speed of steamer upstream (v)=speed of steamer in still water-speed of stream=x−1

Distance covered by steamer upstream (d)=10(x−1)          ......(1)

Distance covered by steamer downstream (d)=9(x+1)      ......(2)

From equation (1) and (2),

10(x−1)=9(x+1)

10x−10=9x+9

10x−9x=9+10

x=19 km/h

Substituting this value in equation(1),

Distance(d)=10(19−1)=180km

Hence, the speed of the steamer in still water is 19km/h and the distance between the ports is 180km.