SOLUTION: A cross country skier starts at a certain point and travels at a constant speed of 4 miles per hour. A snowmobile starts at the same point 45 minutes later, traveling at a constant

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A cross country skier starts at a certain point and travels at a constant speed of 4 miles per hour. A snowmobile starts at the same point 45 minutes later, traveling at a constant      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 93707: A cross country skier starts at a certain point and travels at a constant speed of 4 miles per hour. A snowmobile starts at the same point 45 minutes later, traveling at a constant speed and follows the skier's tracks. If the snowmobile catches up to the skier in 10 minutes, what is the speed of the snowmobile?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A cross country skier starts at a certain point and travels at a constant speed of 4 miles per hour.
A snowmobile starts at the same point 45 minutes later, traveling at a constant speed and follows the skier's tracks.
If the snowmobile catches up to the skier in 10 minutes, what is the speed of the snowmobile?
------------------
Skier DATA:
Rate=4 mph ;time=[(3/4)+(1/6)]=(22/24)hrs;distance=rt = 22/6 miles
-------------------
Snowmobile DATA;
Rate = x mph;time=(1/6)hr; distance = x/6 miles
------------------------
EQUATION:
skier distance = snowmobile distance
22/6 = x/6
x = 22 mph (snowmobile speed)
==================
Cheers,
Stan H.