Average speed: a snowmobile follow a trail to a nearby camp in 10 min. A skier

[eeameliabedilia]

averaging 16 mph slower than...? the snowmobile, starts from the same point on the trail and following the snowmobiles track covers the same distance in 50 min. What was the average speed of the snowmobile?

 

[stanschim]

Let x be the average speed of the snowmobile.

Then, x/6 miles must be the distance covered in 10 minutes.

Now, x - 16 is the average speed of the skier.

Since the two distances covered are the same:

x/6 = (x - 16)(5/6)

x = 5(x - 16)

x = 5x - 80

4x = 80

x = 20 mph