SOLUTION: A boat pulls a water skier at a speed of 30 ft/sec. When it reaches the end of the lake, it adds on more skiers, and the speed drops to 25 ft/sec. If the boat traveled the same d

Question 258152: A boat pulls a water skier at a speed of 30 ft/sec. When it reaches the end of the lake, it adds on more skiers, and the speed drops to 25 ft/sec. If the boat traveled the same distance with the single and group skiers, and the trip back with the group skiers took 8 seconds longer, how far, in feet, in one direction, had the boat traveled?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A boat pulls a water skier at a speed of 30 ft/sec.
When it reaches the end of the lake, it adds on more skiers, and the speed drops to 25 ft/sec.
If the boat traveled the same distance with the single and group skiers, and the trip back with the group skiers took 8 seconds longer, how far, in feet, in one direction, had the boat traveled?
:
Let d = the one way distance traveled
:
Write a time equation; Time = dist/speed
:
25 ft/sec time - 30 ft/sec time = 8 seconds
- = 8
Multiply by 150 to clear the denominators, results
6d - 5d = 150(8)
d = 1200 ft one way boat distance
;
:
Check solution by finding the time in seconds of each trip
1200/25 = 48 sec
1200/30 = 40 sec
----------------
differ = 8 sec
:
:
That was pretty easy, right?
RELATED QUESTIONS
a boat that is pulling a water skier drives in a circle that has a radius of 80 feet.... (answered by stanbon)

Two cross country skiers leave the ski lodge at the same time, and travel the same trail. (answered by macston)

Two ferryboats leave opposite sides of a lake at the same time. They pass eachother when... (answered by Paul)

Two ferryboats leave opposite sides of a lake at the same time. They pass eachother when (answered by venugopalramana)

2 ferryboats leave opposite sides of a lake at the same time. They pass eachother when... (answered by venugopalramana)

4. A boat is pulled by a winch on a dock, and the winch is 12 feet > above the deck (answered by stanbon)

A ramp is 15 feet across horizontally at the base, and rises 4 feet high. A water skier... (answered by ikleyn)

The speed of a boat in still water is S ft/sec. The current is moving at a rate of C... (answered by oberobic)

The speed of a boat in still water is S ft/sec. The current is moving at a rate of C... (answered by mananth)