Answer to Question #107439 in Mechanics | Relativity for Lu

Question

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?

Answer 1

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