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?
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Skier DATA:
Rate=4 mph ;time=[(3/4)+(1/6)]=(22/24)hrs;distance=rt = 22/6 miles
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Snowmobile DATA;
Rate = x mph;time=(1/6)hr; distance = x/6 miles
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EQUATION:
skier distance = snowmobile distance
22/6 = x/6
x = 22 mph (snowmobile speed)
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Cheers,
Stan H.