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

Algebra.Com
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)   (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

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism
RELATED QUESTIONS

Find the speed of a motor boat in still water and the speed of a river current, if it... (answered by Paul)
Determine the speed of a motorboat in still water and the speed of the river current, if... (answered by ankor@dixie-net.com,stanbon)
Solve the following problem using Elimination method. 1. how many gallons of 20%... (answered by TimothyLamb)
It takes a boat on the river 4 hours to travel 24 miles downstream and 6 hours to travel... (answered by Cromlix)
It takes 5 hours for a boat to travel 80 miles downstream. The boat can travel the same... (answered by ikleyn,greenestamps)
A boat can travel 9 miles upstream in the same amount of time it takes to travel 11 miles (answered by solver91311,nyc_function)
A boat on a river travels 48 miles downstream in only 4 hours. It takes the same boat 7... (answered by Katiebug24)
Kate can row a boat 10 miles per hour in still water. In a river where the current is 5... (answered by josgarithmetic,MathTherapy)
please help me in this question: A motorboat can travel at a rate of 25 kilometers per... (answered by ravishingravi)