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Math Asked by a SnapAndSolve user · about 2 hours ago

Two cyclists start at the same point and travel in opposite directions. One travels 5 mph slower than the...

Two cyclists start at the same point and travel in opposite directions. One travels 5 mph slower than the other. In 3 hours they are 105 miles apart. Find how fast each cyclist is traveling.
Slower Cyclist:
Faster Cyclist:

Answer

Let the speed of the faster cyclist be x mph. Then the speed of the slower cyclist is x - 5 mph.

In 3 hours, the distance covered by the faster cyclist is 3x miles, and the distance covered by the slower cyclist is 3(x - 5) miles.

The total distance apart is given as 105 miles:

3x + 3(x - 5) = 105

Solving for x:

  1. 3x + 3x - 15 = 105
  2. 6x - 15 = 105
  3. 6x = 120
  4. x = 20

So, the speed of the faster cyclist is 20 mph, and the speed of the slower cyclist is 15 mph.

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