SOLUTION: The current in ther lazy river moves at a rate of 4mph. Monica'sdinghy motors 6mi upstream in the same time it take to motor 12mi downstream. What is the speed of the dinghy?
Algebra.Com
Question 61093This question is from textbook Intermediate Algebra
: The current in ther lazy river moves at a rate of 4mph. Monica'sdinghy motors 6mi upstream in the same time it take to motor 12mi downstream. What is the speed of the dinghy?
This question is from textbook Intermediate Algebra
Found 2 solutions by funmath, venugopalramana:
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
The current in ther lazy river moves at a rate of 4mph. Monica'sdinghy motors 6mi upstream in the same time it take to motor 12mi downstream. What is the speed of the dinghy?
The distance formula is d=rt. d=distance, r=rate, and t=time. Solve the formula for t.
--->
distance up stream=6
rate upstream is the rate of the boat (r)- rate of the current(4):r-4
distance downstream=12
rate downstream is the rate of the boat (r)+ rate of the current(4): r+4
The time is the same for both, so set the distance formula solved for time equal to each other.
The dingy was moving at 12 mph.
:
Happy Calculating!!!
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
The current in ther lazy river moves at a rate of 4mph. Monica'sdinghy motors 6mi upstream in the same time it take to motor 12mi downstream. What is the speed of the dinghy?
SPEED OF WATER = 4 MPH
LET SPEED OF DINGHY = S MPH
ITS SPEED UP STREAM = S-4 MPH
DISTANCE TRAVELED UPSTREAM = 6 M
TIME TAKEN = 6/(S-4) HRS..................1
ITS SPEED DOWN STREAM = S+4 MPH
DISATANCE TRAVELLED DOWN STREAM = 12 M
THEN TIME TO TRAVEL UPSTREAM = 12/(S+4) HRS...............2
TIMES ARE EQUAL
6/(S-4) = 12/(S+4)
12(S-4)=6(S+4)
12S-48=6S+24
6S=72
S=12 MPH
RELATED QUESTIONS
the current in the lazy river moves at a rate of 4mph. vlads motors 6 miles upstream in... (answered by ewatrrr)
THE CURRENT IN A RIVER IS 4MPH. A BOAT MOTORS 6 MILES UPSTREAM IN THE SAME TIME IT TAKES... (answered by mananth,richwmiller,stanbon)
the speed of the lazy river current is 5 mph. If a boat travels 20 miles downstream in... (answered by Fombitz)
A kayak moves at a rate of 12 miles per hour in still water. If the river’s current flows (answered by ikleyn)
Kellen's boat travels 12 mph. Find the rate of the river current if she can travel (answered by addingup)
A boat travel 30 miles upstream against the current in the same amount of time it take to (answered by checkley77)
A speedboat moves at a rate of 25 km/hr in still water. How long will it take someone to... (answered by ankor@dixie-net.com)
A boat moves at a rate of 78 mph in still water. It travels 240 miles upstream in the... (answered by josgarithmetic)
A river has a current of 4mph. Find the speed of Simon's boat in still water if it goes... (answered by checkley77)