SOLUTION: I paddled for 3 hrs upstream and then 2 hours downstream. Speed upstream was 10 mph slower than downstream. If i traveled a total of 30 miles. How fast did i go downstream?

Question 781089: I paddled for 3 hrs upstream and then 2 hours downstream. Speed upstream was 10 mph slower than downstream. If i traveled a total of 30 miles. How fast did i go downstream?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I paddled for 3 hrs upstream and then 2 hours downstream. Speed upstream was 10 mph slower than downstream. If i traveled a total of 30 miles. How fast did i go downstream?
-----------------------------------
Upstream DATA:
time = 3 hrs ; rate = x -10 mph ; distance = rt = 3x-30 miles
---------------
Downstream DATA:
time = 2 hrs ; rate = x mph ; distance = rt = 2x miles
------
Equation:
3x-30 + 2x = 30
5x = 60
x = 12 mph (downstream rate)
----
x-10 = 2 mph (upstream data)
==============================
Cheers,
Stan H.
RELATED QUESTIONS
The barges traveled downstream at 12 mph and upstream at 7 mph. What was their downstream (answered by ikleyn,josgarithmetic,greenestamps)

Jake paddled a canoe 4 miles upstream at a constant speed of 10 mph. He then turned... (answered by ankor@dixie-net.com)

a sail boat goes downstream for an hour and upstream for 3 hours. a motorboat goes... (answered by ankor@dixie-net.com)

A boat sails downstream 36 miles and then returns upstream against the current. The... (answered by Boreal,solver91311)

I just wanted to see if I have this expression written correctly for the following... (answered by ankor@dixie-net.com,josmiceli)

. The steamboat traveled down the Ohio River at 22 mph and upstream at 14 mph. What was... (answered by greenestamps)

The steamboat traveled down the Ohio River at 22 mph and upstream at 14 mph. What was... (answered by KMST)

Trevon paddled 27 miles downstream in his boat.the speed of the water was 3 miles per... (answered by josgarithmetic,josmiceli)

Tim paddled his canoe 20 miles upstream, and then paddled back. If the speed of the... (answered by solver91311)