Question

A streamer goes down from one port to another in 4hours. It covers same distance upstream in 5hours. If the speed of the stream be 2 km/hr, find the distance between the two ports. ​

Answer 1

Answer:

80 km

Step-by-step explanation:

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

Speed of downstream =(x+2)km/hr

Distance between the ports =4(x+2)km.... (i)

Speed of upstream =(x-2)km/hr

Distance between the ports =5(x−2)km....(ii)

from Equation (i) and (ii)

4(x+2)=5(x−2)

4x+8=5x−10

x=18

∴ Distance between two ports =4(x+2)

=4(18+2)km=80 km

Answer 2

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$\huge\red{\underline{{\bf Question : }}}$

▪️A streamer goes down from one port to another in 4hours. It covers same distance upstream in 5hours. If the speed of the stream be 2 km/hr, find the distance between the two ports.

$\huge\red{\underline{{\bf Answer : }}}$

$\large\bf{\underline\blue{Given:-}}$

• A streamer goes down from one port to another in 4hours.

• It covers same distance upstream in 5hours.

• If the speed of the stream be 2 km/hr.

$\large\bf{\underline\green{To \: Find:-}}$

• Find the distance between the two ports.

$\large\bf{\underline\orange{Solution:-}}$

• Let the steamer in still water = x km/hr

• Speed of downstream = ( x + 2 ) km/hr.

• Distance between the ports = 4 ( x + 2 ) km.....(1)

• Speed of upstream = ( x - 2 ) km/hr

• Distance between the ports = 5 ( x - 2 ) km....(2)

▪️From equation (1) and (2),

⟹ 4 ( x + 2 ) = 5 ( x - 2 )

⟹ 4x + 8 = 5x - 10

⟹ x = 18

▪️Distance between 2 ports = 4 ( x + 2 ) = 4 ( 18 + 2 )km = 80 km.

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