SOLUTION: a boat takes 4 hrs to travel certain distance in a river in downstream and it takes 8hrs to travel the same distance in upstream .then time taken by the boat to travel the same dis

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Question 797237: a boat takes 4 hrs to travel certain distance in a river in downstream and it takes 8hrs to travel the same distance in upstream .then time taken by the boat to travel the same distance in still water

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the rate in still water.

Let represent the rate of the current

Let represent the distance.

For the downstream trip:

For the upstream trip:

Since ,





Substitute:

For the downstream trip:

For the upstream trip:

Add the two equations:



Collect like terms:



Since hours.


John

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