Hi All,

While the prompt does not state it, we're meant to assume that the man is walking WITH the flow of the conveyor belt (meaning that he moves FASTER because he's walking AND the conveyor belt is moving him forward).

Thus, there are two speeds that the man moves at are :

2 meters/sec when he stands on the conveyor belt

6 meters/sec when he walks on the conveyor belt.

We're told that the conveyor belt is 120 meters long and that the man walks for half of the TIME that he's on the conveyor belt (NOT half of the distance). We're asked how much total time it takes the man to cross the 120 meters. This question can be solved by TESTing THE ANSWERS.

Let's TEST Answer B: 30 seconds.

Since he spends HALF the TIME walking and the other half standing, he would have traveled:

15 seconds

6 meters/sec = 90 meters

15 seconds @ 2 meters/sec = 30 meters

Total Distance = 90 + 30 = 120 meters

This is an exact match for what we were told, so this MUST be the answer.

Final Answer:

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Rich

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