Question

A motorboat goes downstream on a river and covers a certain distance two town in 6 hours. it covers this distance upstream in 8 hours. if the speed of the stream is 2km/h, find the distance between the two towns.​

Answer 1

Answer:

14 km

Step-by-step explanation:

Let the speed of the boat be x km/h

Speed of boat while going upstream = (x-2) Km /h

Speed of boat while going downstream = (x + 2) km/h

Distance covered in 6 hours while going downstream = 6 (x+2) km

Distance covered in 8 hours while going upstream = 8(x - 2)km

But the distance between A and B is fixed

6 (x + 2) = 8(x -2)

6x + 12 = 8x - 16

2x = 28

x = 14

So the distance between two towns is 14 km.

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