SOLUTION: In 6 hours a boat, traveling with the current, covers 20 more mi than in 10 hours, traveling against the current. What is the speed of the current if the speed of the boat in still

Question 1011029: In 6 hours a boat, traveling with the current, covers 20 more mi than in 10 hours, traveling against the current. What is the speed of the current if the speed of the boat in still water is 15 mph?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the current in mi/hr
= the speed of the boat going with the current
= the speed of the boat going against the current
Let = the distance in miles traveled against the current
= the distance in miles traveled with the current
----------------------------
Equation for going with the current:
(1)
Equation for going against the current:
(2)
--------------------------
(1)
(1)
and
(2)
(2)
---------------------
Subtract (1) from (2)
(2)
(1)
---------------------

The speed of the current is 5 mi/hr
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
RELATED QUESTIONS
Traveling with the current, a boat covers in 4 hours a distance 2.4 times greater than... (answered by ankor@dixie-net.com)

a boat traveling with the current went 48 km in 3 hours. against the current, the boat... (answered by )

A motorboat traveling with the current went 42 mi in 3.5 h. Traveling against the... (answered by mananth)

A boat traveled 210 miles in 10 hours against the current. The boat then returned with... (answered by mananth)

a canoeist makes a 24-mile trip, traveling with the current, in two hours. traveling... (answered by jorel1380)

A motorboat traveling with the current went 72 miles in 3 hours. Against the current, the (answered by ikleyn,Alan3354)

A boat going upstream (against the current) travels 105 miles in 15 hours. It takes the... (answered by mananth)

I need your help with this problem. A boat traveled 96 miles in 8 hours against the... (answered by Paul)

A motorboat traveling with the current went 6 mi in 1 h. Against the current, it took 3 h (answered by checkley79)