A steamer goes downstream from one port to another in 9 hours. It cove

1.	A steamer goes downstream from one port to another in 9 hours. It covers the same distance upstream in 10 hours. If the speed of stream be 1 km/h, find the speed of the steamer in still water. Also find the distance between the ports. asap plsssss
Answer» 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. Hope it helps you.please mark as the BRANLIEST answer.

A steamer goes downstream from one port to another in 9 hours. It covers the same distance upstream in 10 hours. If the speed of stream be 1 km/h, find the speed of the steamer in still water. Also find the distance between the ports. asap plsssss

Answer»

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.

Hope it helps you.please mark as the BRANLIEST answer.