SOLUTION: You and a friend decide to row down river, have a picnic and then row back home. The picnic spot is 20 miles from home. It takes you 2 hours to row with the current to the picnic s

Algebra.Com
Question 1084998: You and a friend decide to row down river, have a picnic and then row back home. The picnic spot is 20 miles from home. It takes you 2 hours to row with the current to the picnic spot and 3 hours and 20 minutes to row back after the picnic. Determine the rate of the current and the rate at which you rowed.
Found 2 solutions by jorel1380, MathTherapy:
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
Let r be your rowing speed and c be the speed of the river. Then
20/(r+c)=2
20/(r-c)=10/3
So:
2r+2c=20
10r-10c=60
Solve for r and c. ☺☺☺☺
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

You and a friend decide to row down river, have a picnic and then row back home. The picnic spot is 20 miles from home. It takes you 2 hours to row with the current to the picnic spot and 3 hours and 20 minutes to row back after the picnic. Determine the rate of the current and the rate at which you rowed.
Let rowing speed be S, and current speed, C

Then rowing with the current gives: 

Rowing against the current gives: 

2S = 16 ------ Adding eqs (ii) & (i) 

S, or rowing-speed = 

Now, you find the speed of the current! 

RELATED QUESTIONS


The current in a river is 4 kph. Al can row from home to his fishing spot 5 km down river  (answered by ewatrrr)

Lily's family took a motor boat 24 km down a river for a picnic. It took them 1 hr to get  (answered by mananth)

A spider crawled from the picnic basket to home at an average speed of 5 feet per minute,  (answered by josmiceli)

You and your best friend decide to go on a bike ride. You start at your house and ride 6... (answered by richwmiller)

Adam and Natasha row their canoe 21 miles downstream in 3 hours. After a picnic, they row  (answered by josgarithmetic)

Mr. Anderson drives his family to a picnic ground 60 miles from his home. When he... (answered by josgarithmetic)

Adam and Natasha row their canoe 12 miles downstream in 2 hours. After a picnic, they row  (answered by ankor@dixie-net.com)

Picnic Misery
Twenty boys went on a picnic. 5 got sunburned, 8 got bitten by mosquitoes,  (answered by ikleyn)

Bing rowed his boat down the river and back.  Normally, in still water, he rows a... (answered by josmiceli)