Daily Tech Puzzle #7
Sponsored by MindSumo

At the Fermilab in Chicago, physicists perform complex experiments to discover the fundamental truths that govern our universe. Let's venture into the building next door, where scientists build weird contraptions to help them come up with cool word problems.

You see a 100 meter long moving walkway (moving at a constant rate of 6 meters / second).

Alice steps onto the start of the walkway and stands. Two seconds later, Bob steps onto the start of the walkway and walks forward at 4 meters / second. Two seconds after Bob, Carol steps onto the start of the walkway and walks forward at 8 meters / second.

There is a point in time where one of these folks is exactly in between the other two. At this point in time, find the distance in meters between the start of the walkway and the middle person.

Note 1. There are two points where this is possible, please give us the distance at the first point in time it happens.

Note 2. Please only input the number portion of your answer - NO UNITS! I.e. if your answer is 10 meters, please only input 10 into the answer box below!