Question

Vehicles arrive at a recreational park booth at a uniform deterministic rate of 5 veh/min. If uniform deterministic processing of vehicles (collecting of fees) begins 20 minutes after the first arrival and the total delay is 3200 veh/min, how long after the arrival of the first vehicle will it take for the queue to be cleared?

Answer 1

Answer:

The right solution is "32 min".

Explanation:

The given values are:

Total delay,

= 3200 veh/min

Deterministic rate,

= 5 veh/min

For 1st arrival, time taken

= 20 minutes

Now,

To be clear the queue, the time take will be:

= $\frac{Total \ delay}{Deterministic \ rate\times (1st \ arrival \ time \ taken)}$

On substituting the values in the above formula, we get

= $\frac{3200}{5\times 20} \ min$

= $\frac{3200}{100}$

= $32 \ min$