SOLUTION: An Everglades air boat travels 78 miles downstreat in the same amount of time it requires to move upstream a distance of 48 miles. the boats engines drive in still water at an aver

Question 251595: An Everglades air boat travels 78 miles downstreat in the same amount of time it requires to move upstream a distance of 48 miles. the boats engines drive in still water at an average rate of 16 mph greater than the rate of the current. find the speed of the boat and the water current.
i tried
(16+c)t=48
(16+c)t=78
it didnt work. i cant figure this out please help!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An Everglades air boat travels 78 miles downstreat in the same amount of time it requires to move upstream a distance of 48 miles. the boats engines drive in still water at an average rate of 16 mph greater than the rate of the current. find the speed of the boat and the water current.
i tried
(16+c)t=48
(16+c)t=78
it didnt work.
-------------------------------------------
Downstream DATA:
distance = 78 miles ; rate = (c+16+2 = (2c+16) mph ; time = 78/(2c+16) hrs.
----------------------
Upstream DATA:
distance = 48 miles ; rate = (16+c-c = 16 mph ; time = 48/16 = 3 hrs
-----------------------------------------------------------------
Equation:
time down = time up
78/(2c+16) = 3
78 = 6c + 48
6c = 30
c = 5 mph (speed of the current)
==================================
Cheers,
Stan H.
RELATED QUESTIONS
An Everglades air boat travels 78 miles downstream in the same amount of time it requires (answered by richwmiller)

An Everglades air boat travels 78 miles downstream in the same amount of time it requires (answered by palanisamy)

A boat moves at a rate of 78 mph in still water. It travels 240 miles upstream in the... (answered by josgarithmetic)

The speed of a stream is 4 miles per hour. If a boat travels 46 miles downstream in the... (answered by richwmiller)

The speed of a boat in still water is 5 miles per hour. If the boat travels 3 miles... (answered by mananth)

The speed of a boat in still water is 4 miles per hour. If the boat travels 5 miles... (answered by mananth)

The speed of a boat in still water is 7 miles per hour. If the boat travels 6 miles... (answered by lwsshak3)

A boat travels 180 miles downstream in six hours. The return trip, going upstream the... (answered by Alan3354)

The speed of a stream is 4mph. If a boat travels 58 miles upstream in the same amount of... (answered by anand429)