Question #107439

horizontal escalator connecting airport terminals is 1km long. two kids from opposite ends and run toward each other at 3m/s and meet 600m from the start of the escalator. what is the speed of the escalator?

Expert's answer

So,

"(v+v_0)t=600" "\\to" "t=\\frac{600}{v+v_0}"

"(v-v_0)t=400" "\\to" "t=\\frac{400}{v-v_0}"

"\\frac{600}{v+v_0}=\\frac{400}{v-v_0}\\to\\frac{600}{3+v_0}=\\frac{400}{3-v_0}"

"v_0=\\frac{600}{1000}=0.6" "m\/s" **Answer**

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